- SailfishOS: still linux based and seems fairly community inclusive, but the UI part of the stack is closed source. Is the only one officially allowed to run android apps, via emulation. Has existed for a very long time, it's lightweight and I think the most stable/bug-free in this list.
- Ubuntu Touch: fully open source and community driven, it uses snap packages for security, you might be able to run android apps. Last time I run it also seemed fairly stable/bug-free.
- PureOS: fully open source and privacy focused. I think it's the only one that, released with the Librem 5, can avoid using proprietary blobs for interfacing with the hardware. Seems less stable than SailfishOS and Ubuntu Touch. You would need to buy a fairly expensive-but-old phone(librem 5) to run it.
- PostmarketOS: fully open source, focused on being lightweight and revive old phones, has a huge amount of phones it has been tested on, is based on Alpine.
- Mobian: mobile version of Debian, it's fairly new on this list.
There are many more linux mobile OSes, but as far as I know these are the main ones. There might also be some inaccuracies on this post, I tested some of these a long time ago, and I never actually run the last 2.