I didn't really care for the characters in Breathless either, but I did really enjoy seeing how avante garde (for the time) the filmmaking was with fast cuts, hand held camera, etc. It looks like a modern TV or streaming show but you have to remember this was 1960 and _no one_ was making stuff that looked like that (the big hollywood films were John Wayne westerns, huge epics like Ben Hur, etc.). It's pretty amazing that Godard pioneered a style that we all see and take for granted today.

It's been a while since I've seen it but I remember liking Masculine Feminine more than Breathless, at least liking the characters in it more. Give it a look: https://www.youtube.com/watch?v=pRiVKoW18Fw