I lean more towards the 'fantastic' category, but only because the storyline and the emotions conveyed within anime that would fall into the 'realistic' category are often poorly done and/or predictable, and the lack of anything else to distract me from how badly it's written drive me away from it.
A good story can entertain me just as much as a lot of show can - stuff like Ghost in the Shell: Stand Alone Complex and Steins;Gate rank amongst my favourites and, whilst calling them 'realistic' might be a stretch, they portray a more realistic image than fantasy settings, etc - but the problem is finding a good story. I've seen it all before, and it doesn't entertain me anymore. Plot twists are only good if you don't see them coming, and if you've seen the same plot twist being used somewhere else in almost exactly the same fashion, it loses its impact.
For some reason, I never tire of action sequences. They can be very samey as well, but it's the little things that make them interesting. I'm probably just too unforgiving of plotlines being re-used in different anime. xD