I watch quite a few movies. You mentioned quirky. In the past few years there’s a few movies that are memorable due to being thought provoking and “quirky”. I’m not going to say these are GREAT films or perhaps even good films. They are films that are just plain weird or quirky...but memorable.
In no particular order.
Sunshine
The Fountain
Code 46
Requiem for a Dream
PI
Primer
Yes, three Aronofsky movies. He makes weird stuff.
Definitely Primer.
Watch it several times and try to figure out what’s going on.
Also: Memento (starring Guy Pearce and Carrie-Ann Moss)