This is a very popular bakery cake in the Chicago area.
My Mother has made this for years.
1 layer banana or yellow cake
1 layer chocolate cake
1 layer white cake
Fresh bananas, sliced
1 small box Jell-O Banana Pudding
Fresh strawberries, sliced
1 small box Jell-O Chocolate Pudding
1 small box Jell-O Vanilla Pudding
Set the banana (or yellow) cake layer on a cake plate. Top with sliced bananas, then spread banana pudding over the top to hold the bananas together.
Place the chocolate cake layer on top. Top with sliced strawberries, then spread chocolate pudding over the top.
Place the white cake layer on top. Spread with vanilla pudding.
Frost top and sides of cake with a generous amount of whipped cream. Refrigerate.