I don't really have one favorite but German Chocolate cake comes to mind first. I also like simple white cake with white frosting. I also really love white cake with strawberries between the layers. Another favorite type of cake is chocolate lava cake.
Since I don't really have a favourite one, I'll say that the ones I prefer are the cakes which have funny names because I can say things like :
"Today, I'll eat a financier"; "give me the nun" (the actual cake is called religieuse, but this is more of a pastry than an actual cake) et caetera.
There are plenty of others like this, among which some are politically incorrect so I'll spare you them.
Else, from my favourites, there are :
- Kouign amann
- Quatre quarts
- Carrément chocolat
- Opéra
- Black forest
...