Ground Hog Day is one of my favourite films, and the concept behind 'Sliding Doors' I like, so I will have to rent out "Run Lola Run".
A film that I've seen recently that had an impact on me was 'Brazil'. The cinematography is amazing, it's like a comic book but not in a lame Batman and Robin kind of way. The film has a very serious 1984-esque theme to it, which when coupled with the general surrealness of it, amounts to a really memorable film.