I prefer to watch movies that are not the 'latest'. Not sure how you would go about finding these though.
Avanti! - Critics say it can be a little slow, but I think overall a nice movie.
https://en.wikipedia.org/wiki/Avanti!
Le Samouraļ - Old French neo-noir crime film
https://en.wikipedia.org/wiki/Le_Samoura%C3%AF
Any of Akira Kurosawa's films
Wong Kar-wai has some weird stuff
Contact
Gattaca
These are just off the top of my head.