I remember all the other kids in my classes in grade school loved it when cup cakes with thick frosting were brought in. I would regularly eat the cake part and toss the frosting. I remember one year someone's mom brought in cupcakes that had been baked in ice cream cones and had mounds of colored, shortening based frosting on top to make it look like a fancy swirl cone with sprinkles. I remember scraping off the frosting and wishing it had been real ice cream.
I much prefer butter cream frosting or something like a caramel or syrup drizzled over top. I also like flavored frostings such as cream cheese, spiced, chocolate, strawberry... Just so long as they aren't mostly shortening and sugar with a couple drops of flavoring added. Those are still gross.