1) The ability to export notes in a format other than PDF.
2) Bear actually has a web clipper; Apple Notes simply puts a link preview in your note. That does not provide for when the webpage no longer exists. Many times, I use Bear as a vehicle for copying off a webpage when I want it to land in my file system and not remain in Bear.
1/ HTML, Textbundle, plain text... in bulk not one by one. Mac's export is more comprehensive.
3/ Search is much better than Apple Notes:
a) Not all notes shown in the result. Workarounds can be typing " in front of the keywords (more notes can be found), or reset Siri & Search.
b) Notes with keywords matching the title will not be necessarily shown on top.
4/ Better note links and backlinks, and there is a way to return to the previous note you access.
5/ Highlights with more colour coming soon!
6/ No AI
7/ Widgets like random widget will remind you there are some notes long time ago so you will not ignore and forget them.
8/ On Apple Notes, folders are not so useful but they have smart folders. On Bear there are no smart tags, but on a note with a tag you can tap the tag to access other notes with the same tag. On Apple Notes you can open a folder in a note.
As I have a MacBook Air 2018 which will not receive MacOS 15 update, which means I will not enjoy new features on my Apple Notes on one of the devices. Considering switching to Bear or having workarounds like writing longform articles on iA Writer.