I like many, many kinds of cake, but there are three that I bake myself from time to time.
1. Carrot cake. - I count it as a vegetable. Cream cheese frosting is dairy.
2. Fruit cocktail cake. - Mostly for the cooked coconut walnut frosting.
3. Rum cake. - Baked in a tube pan, with a rum sauce drizzled over and a bit more rum poured down the center hole.