You know, it's sad, but the first thing that usually draws me in is the art, the style, the look of it. I will watch anything so long as it looks good. Then I decide from there if it is worth watching again.
So for me there is no one type. I will watch anything. Yes anything. As long as the art is good, the story is good, and it has a mix of moments (emotions) then I am more than likely there.
I'll watch a romantic, comedy, action, horror, suspense, sci-fi, mystery, and yes some that might be considered for the kids.
Of course it doesn't hurt if it has attractive characters.
That is probably why I have become so addicted to Bleach and Naruto.
They both are fantastic looking. They bath have great stories; okay they have some slower moments, but what doesn't? They both have an awesome mix of emotion. Happy, sad, love, hate, quite, loud, etc. They both have great interaction between the characters, and try to include as many of them as possible. Sometimes I'll check something out just because someone suggests it, then we can discuss it.
So for me, my favorite type of anime is.... Well anime.