diff --git a/CHANGELOG.md b/CHANGELOG.md
index 67ae3c02..cf5d3741 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -5,6 +5,19 @@ The format is based on [Keep a Changelog](http://keepachangelog.com/en/1.0.0/)
 and this project adheres to [Semantic Versioning](http://semver.org/spec/v2.0.0.html).
 
 <!-- insertion marker -->
+## [1.16.8](https://github.com/mkdocstrings/python/releases/tag/1.16.8) - 2025-03-24
+
+<small>[Compare with 1.16.7](https://github.com/mkdocstrings/python/compare/1.16.7...1.16.8)</small>
+
+### Bug Fixes
+
+- Prevent infinite recursion by detecting parent-member cycles ([f3917e9](https://github.com/mkdocstrings/python/commit/f3917e9dd50ca7f94d0dd22b6e4e11885b4617e7) by Timothée Mazzucotelli). [Issue-griffe-368](https://github.com/mkdocstrings/griffe/issues/368)
+
+### Code Refactoring
+
+- Prepare feature for ordering by `__all__` value ([bfb5b30](https://github.com/mkdocstrings/python/commit/bfb5b303f4ea2187c15bccc688f7eba25e7edfcc) by Timothée Mazzucotelli). [Issue-219](https://github.com/mkdocstrings/python/issues/219)
+- Sort objects without line numbers last instead of first ([681afb1](https://github.com/mkdocstrings/python/commit/681afb146225d98350a8eb2178aab07aec95fe6b) by Timothée Mazzucotelli).
+
 ## [1.16.7](https://github.com/mkdocstrings/python/releases/tag/1.16.7) - 2025-03-20
 
 <small>[Compare with 1.16.6](https://github.com/mkdocstrings/python/compare/1.16.6...1.16.7)</small>
diff --git a/docs/insiders/changelog.md b/docs/insiders/changelog.md
index edddd290..b5717892 100644
--- a/docs/insiders/changelog.md
+++ b/docs/insiders/changelog.md
@@ -2,6 +2,10 @@
 
 ## mkdocstrings-python Insiders
 
+### 1.12.0 <small>March 22, 2025</small> { id="1.12.0" }
+
+- [Ordering method: `__all__`][option-members_order]
+
 ### 1.11.0 <small>March 20, 2025</small> { id="1.11.0" }
 
 - [Filtering method: `public`][option-filters-public]
diff --git a/docs/insiders/goals.yml b/docs/insiders/goals.yml
index 1dbf1597..71128361 100644
--- a/docs/insiders/goals.yml
+++ b/docs/insiders/goals.yml
@@ -48,3 +48,6 @@ goals:
     - name: "Filtering method: `public`"
       ref: /usage/configuration/members/#option-filters-public
       since: 2025/03/20
+    - name: "Ordering method: `__all__`"
+      ref: /usage/configuration/members/#option-members_order
+      since: 2025/03/22
\ No newline at end of file
diff --git a/docs/usage/configuration/members.md b/docs/usage/configuration/members.md
index 52e0d574..7a5069a1 100644
--- a/docs/usage/configuration/members.md
+++ b/docs/usage/configuration/members.md
@@ -264,13 +264,14 @@ class Main(Base):
 [](){#option-members_order}
 ## `members_order`
 
-- **:octicons-package-24: Type [`str`][] :material-equal: `"alphabetical"`{ title="default value" }**
+- **:octicons-package-24: Type `str | list[str]` :material-equal: `"alphabetical"`{ title="default value" }**
 <!-- - **:octicons-project-template-24: Template :material-null:** (N/A) -->
 
 The members ordering to use. Possible values:
 
-- `alphabetical`: order by the members names.
-- `source`: order members as they appear in the source file.
+- `__all__` ([:octicons-heart-fill-24:{ .pulse } Sponsors only](../../insiders/index.md){ .insiders } &mdash; [:octicons-tag-24: Insiders 1.12.0](../../insiders/changelog.md#1.12.0)): Order according to `__all__` attributes. Since classes do not define `__all__` attributes, you can specify a second ordering method by using a list.
+- `alphabetical`: Order by the members names.
+- `source`: Order members as they appear in the source file.
 
 The order applies for all members, recursively.
 The order will be ignored for members that are explicitely sorted using the [`members`][] option.
@@ -292,6 +293,12 @@ plugins:
       members_order: source
 ```
 
+```md title="or in docs/some_page.md (local configuration)"
+::: package.module
+    options:
+      members_order: [__all__, source]
+```
+
 ```python title="package/module.py"
 """Module docstring."""
 
diff --git a/docs/usage/index.md b/docs/usage/index.md
index 84110936..b2a00955 100644
--- a/docs/usage/index.md
+++ b/docs/usage/index.md
@@ -87,8 +87,8 @@ plugins:
 - mkdocstrings:
     handlers:
       python:
-        import:
-        - https://docs.python-requests.org/en/master/objects.inv
+        inventories:
+        - https://docs.python.org/3/objects.inv
 ```
 
 When loading an inventory, you enable automatic cross-references
diff --git a/pyproject.toml b/pyproject.toml
index efaf7c5c..3ec25ccc 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -33,7 +33,7 @@ classifiers = [
 dependencies = [
     "mkdocstrings>=0.28.3",
     "mkdocs-autorefs>=1.4",
-    "griffe>=0.49",
+    "griffe>=1.6.2",
     "typing-extensions>=4.0; python_version < '3.11'",
 ]
 
diff --git a/src/mkdocstrings_handlers/python/_internal/config.py b/src/mkdocstrings_handlers/python/_internal/config.py
index 89ea451c..11c77da1 100644
--- a/src/mkdocstrings_handlers/python/_internal/config.py
+++ b/src/mkdocstrings_handlers/python/_internal/config.py
@@ -9,6 +9,8 @@
 
 from mkdocstrings import get_logger
 
+from mkdocstrings_handlers.python._internal.rendering import Order  # noqa: TC001
+
 # YORE: EOL 3.10: Replace block with line 2.
 if sys.version_info >= (3, 11):
     from typing import Self
@@ -520,13 +522,18 @@ class PythonInputOptions:
     ] = None
 
     members_order: Annotated[
-        Literal["alphabetical", "source"],
+        Order | list[Order],
         _Field(
             group="members",
             description="""The members ordering to use.
 
-            - `alphabetical`: order by the members names,
+            - `__all__`: order members according to `__all__` module attributes, if declared;
+            - `alphabetical`: order members alphabetically;
             - `source`: order members as they appear in the source file.
+
+            Since `__all__` is a module-only attribute, it can't be used to sort class members,
+            therefore the `members_order` option accepts a list of ordering methods,
+            indicating ordering preferences.
             """,
         ),
     ] = "alphabetical"
diff --git a/src/mkdocstrings_handlers/python/_internal/rendering.py b/src/mkdocstrings_handlers/python/_internal/rendering.py
index 8ab9b21f..8f544014 100644
--- a/src/mkdocstrings_handlers/python/_internal/rendering.py
+++ b/src/mkdocstrings_handlers/python/_internal/rendering.py
@@ -9,6 +9,7 @@
 import sys
 import warnings
 from collections import defaultdict
+from contextlib import suppress
 from dataclasses import replace
 from functools import lru_cache
 from pathlib import Path
@@ -17,6 +18,8 @@
 
 from griffe import (
     Alias,
+    AliasResolutionError,
+    CyclicAliasError,
     DocstringAttribute,
     DocstringClass,
     DocstringFunction,
@@ -43,26 +46,35 @@
 _logger = get_logger(__name__)
 
 
-def _sort_key_alphabetical(item: CollectorItem) -> Any:
-    # chr(sys.maxunicode) is a string that contains the final unicode
-    # character, so if 'name' isn't found on the object, the item will go to
-    # the end of the list.
+def _sort_key_alphabetical(item: CollectorItem) -> str:
+    # `chr(sys.maxunicode)` is a string that contains the final unicode character,
+    # so if `name` isn't found on the object, the item will go to the end of the list.
     return item.name or chr(sys.maxunicode)
 
 
-def _sort_key_source(item: CollectorItem) -> Any:
-    # if 'lineno' is none, the item will go to the start of the list.
+def _sort_key_source(item: CollectorItem) -> float:
+    # If `lineno` is none, the item will go to the end of the list.
     if item.is_alias:
-        return item.alias_lineno if item.alias_lineno is not None else -1
-    return item.lineno if item.lineno is not None else -1
+        return item.alias_lineno if item.alias_lineno is not None else float("inf")
+    return item.lineno if item.lineno is not None else float("inf")
 
 
-Order = Literal["alphabetical", "source"]
-"""Ordering methods."""
+def _sort__all__(item: CollectorItem) -> float:  # noqa: ARG001
+    raise ValueError("Not implemented in public version of mkdocstrings-python")
 
-_order_map = {
+
+Order = Literal["__all__", "alphabetical", "source"]
+"""Ordering methods.
+
+- `__all__`: order members according to `__all__` module attributes, if declared;
+- `alphabetical`: order members alphabetically;
+- `source`: order members as they appear in the source file.
+"""
+
+_order_map: dict[str, Callable[[Object | Alias], str | float]] = {
     "alphabetical": _sort_key_alphabetical,
     "source": _sort_key_source,
+    "__all__": _sort__all__,
 }
 
 
@@ -246,7 +258,7 @@ def do_format_attribute(
 
 def do_order_members(
     members: Sequence[Object | Alias],
-    order: Order,
+    order: Order | list[Order],
     members_list: bool | list[str] | None,
 ) -> Sequence[Object | Alias]:
     """Order members given an ordering method.
@@ -266,7 +278,12 @@ def do_order_members(
             if name in members_dict:
                 sorted_members.append(members_dict[name])
         return sorted_members
-    return sorted(members, key=_order_map[order])
+    if isinstance(order, str):
+        order = [order]
+    for method in order:
+        with suppress(ValueError):
+            return sorted(members, key=_order_map[method])
+    return members
 
 
 # YORE: Bump 2: Remove block.
@@ -396,6 +413,29 @@ def _keep_object(name: str, filters: Sequence[tuple[Pattern, bool]]) -> bool:
     return keep
 
 
+def _parents(obj: Alias) -> set[str]:
+    parent: Object | Alias = obj.parent  # type: ignore[assignment]
+    parents = {obj.path, parent.path}
+    if parent.is_alias:
+        parents.add(parent.final_target.path)  # type: ignore[union-attr]
+    while parent.parent:
+        parent = parent.parent
+        parents.add(parent.path)
+        if parent.is_alias:
+            parents.add(parent.final_target.path)  # type: ignore[union-attr]
+    return parents
+
+
+def _remove_cycles(objects: list[Object | Alias]) -> Iterator[Object | Alias]:
+    suppress_errors = suppress(AliasResolutionError, CyclicAliasError)
+    for obj in objects:
+        if obj.is_alias:
+            with suppress_errors:
+                if obj.final_target.path in _parents(obj):  # type: ignore[arg-type,union-attr]
+                    continue
+        yield obj
+
+
 def do_filter_objects(
     objects_dictionary: dict[str, Object | Alias],
     *,
@@ -455,10 +495,14 @@ def do_filter_objects(
         objects = [
             obj for obj in objects if _keep_object(obj.name, filters) or (inherited_members_specified and obj.inherited)
         ]
-    if keep_no_docstrings:
-        return objects
+    if not keep_no_docstrings:
+        objects = [obj for obj in objects if obj.has_docstrings or (inherited_members_specified and obj.inherited)]
+
+    # Prevent infinite recursion.
+    if objects:
+        objects = list(_remove_cycles(objects))
 
-    return [obj for obj in objects if obj.has_docstrings or (inherited_members_specified and obj.inherited)]
+    return objects
 
 
 @lru_cache(maxsize=1)
diff --git a/tests/test_handler.py b/tests/test_handler.py
index a4e1d23a..5940af5e 100644
--- a/tests/test_handler.py
+++ b/tests/test_handler.py
@@ -10,7 +10,14 @@
 from typing import TYPE_CHECKING
 
 import pytest
-from griffe import Docstring, DocstringSectionExamples, DocstringSectionKind, Module, temporary_visited_module
+from griffe import (
+    Docstring,
+    DocstringSectionExamples,
+    DocstringSectionKind,
+    Module,
+    temporary_inspected_module,
+    temporary_visited_module,
+)
 from mkdocstrings import CollectionError
 
 from mkdocstrings_handlers.python import PythonConfig, PythonHandler, PythonOptions
@@ -275,3 +282,19 @@ def test_deduplicate_summary_sections(handler: PythonHandler, section: str, code
             ),
         )
         assert html.count(f"{section}:") == 1
+
+
+def test_inheriting_self_from_parent_class(handler: PythonHandler) -> None:
+    """Inspect self only once when inheriting it from parent class."""
+    with temporary_inspected_module(
+        """
+        class A: ...
+        class B(A): ...
+        A.B = B
+        """,
+    ) as module:
+        # Assert no recusrion error.
+        handler.render(
+            module,
+            handler.get_options({"inherited_members": True}),
+        )
diff --git a/tests/test_rendering.py b/tests/test_rendering.py
index 31829e85..2616610f 100644
--- a/tests/test_rendering.py
+++ b/tests/test_rendering.py
@@ -58,6 +58,8 @@ def test_format_signature(name: Markup, signature: str) -> None:
 class _FakeObject:
     name: str
     inherited: bool = False
+    parent: None = None
+    is_alias: bool = False
 
 
 @pytest.mark.parametrize(