This is hard...I'm really not super into anime, haha
1. Revolutionary Girl Utena
2. Kino's Journey
3. Ghost in the Shell (1995 film)
4. Noir, maybe?
5. Serial Experiments Lain?
Honorable mentions: Red Garden, Cowboy Bebop, not sure how I feel about Mawaru Penguindrum but I'm putting it down anyway, Akira, other iterations of GitS (especially Innocence, though the first season of SAC is pretty decent), FLCL, Eden of the East
The top three are pretty solid, though Kino and GitS might get switched around. I'm lumping the Utena movie into the series here, though the series is far better.
My tastes are...interesting, to say the least.