Ahhh, good point, Lynn. Let me see if I can come up with some titles off the top of my head.

Naruto
Fruits Basket (we enjoyed that one together)
.Hack Roots
Trigun
Gundum Seed

Typical anime violence isn't too much of an issue. Mild sexual inuendos or romantic circumstances are fine....but the really sexy stuff I prefer to avoid. And we don't like things that are deeply occultic. Fantasy-type magic stuff is fine...but things that glorify occultic magic or make evil somehow heroic, we avoid.