I voted "other" as I usually just choose a series that I like the sound of from descriptions I read, I don't really have a requirement as to what it is about, though its fair to say that if I don't like the artwork there is a fairly high chance I won't watch it. Seeing types of artwork I don't like has stopped me from looking into stuff like Lupin III and once I d/led an ep of Paranoia Agent but I hated the art so much I just stopped before the opening titles ended and deleted it...

Action is good so long as its well done, though I tend to find it boring if it goes on too long, Horror is something I don't find anywhere enough of in anime, generally as a genre horror is not done well at all in most anime and good horror seems hard to find. Comedy is good in stuff like Ushio and Tora and Samurai Deeper Kyo, and violence is usually good, though I'm not a fan of sexual violence unless its necessary to the plot (not that I have a problem with others watching it, I just don't like to - many horror-ish films such as Doji seem to just try to shock with sexual violence rather than putting any real thought into actually scaring you).