[Dr. Boogie]

Define "inexplicably".

Seriously, though, without knowing anything about her tastes, it's hard to make a recommendation. I'd say Rumiko Takahashi's stuff is good for safe, entry level anime. It's cute and funny, and as your girlfriend's tastes mature, she'll eventually realize that all her stuff goes on forever and eventually starts to repeat.

Fushigi Yugi is a nice romantic comedy sort of anime, too.