I'm a big anime fan. Try these on for size:
GunSword. Awesome anime. Especially for you Cowboy Bebop fans. It mixes this great gunslinger/swords man with heavy Mech fights. Check it out
Gunslinger Girl. Awesome story and great violent animation. Really graphic with a very captivating storyline.
And lastly Neon Genesis Evangelion. Great Mech anime with an awesome awesome story. A must for all Mech fans.