If you like Rain, and are into dark and quirky movies (think Tim Burton) I would recommend I'm a Cyborg, But That's OK
The Client - Thriller/Courtroom
Gorgeous - Jackie Chan (need I say more?)
Moon Child - Vampires, guns, Gackt, Hyde, a bit of romance, did I mention Gackt?
The Host - This one was really interesting. It's a Korean monster movie. I really enjoyed it.
Some interesting horror movies:
Cursed aka Cho Kowa ihanashi a yami no karasu- A haunted convenience store
Uzumaki - Evil spirals take over a town
Chakushin Ari - Voicemails tht predict your death
Cello- A horror-mystery involving music.
Most of the Asian movies I have seen are horror. lol