No promises, but I would recommend trying Weekend (1967). I felt the same way about Breathless for a long time, until I watched it the third time and it just "clicked." It's easy to take that film way too seriously and miss the point.

That said, I don't really know why I've watched so many Godard films, since I almost never actually enjoy them (the reason is probably Anna Karina et al. hnngh). Still, he was undoubtedly a genius and I have the uttermost respect for his craft. RIP.