I watched a lot of anime in the distant past, and only started watching again around when I created my account on Anime Planet. I've mostly only rated things that I've watched since then, since most of the things I watched eons ago are kind of fuzzy.
I'm not too particular about genres, but I tend to like anime with strong characters or at least a strong plot. I am so frustrated with how many anime have (IMHO) terrible endings. There are many anime I've watched and enjoyed greatly, only to be disappointed that the writers couldn't figure out a clean or compelling way to end the show.
That said, I tend to get some level of enjoyment out of pretty much everything I watch.
(I should probably also note that I'm cheating by selecting what to watch from the top of the rating list at AP, which probably skews my average rating pretty high)
* Yes, my images are a mild form of protest. lol