I love some of the ones already mentioned. Cheesecake (it's an honorary cake), and carrot cake. Mmmm. I also love pound cakes, german chocolate cake, coconut cake, a good yellow cake with homemade chocolate frosting.
It would be easier to say I do not like cake with nuts (other than GC but only if they are chopped up fine in the frosting. hate black walnut cake, etc.), red velvet, or cool whip frosting. And yes, I bake my own.