We just celebrated my daughters first birthday and this is the cake I made for her. It had good banana flavor, but wasn't sweet. You could add sugar if you wanted it sweeter, but I was trying to avoid sugar for my 1 and 3 year old as I didn't want them bouncing off the walls at the party.
BANANA CAKE
2/3 c. banana, mashed
1/2 c. butter, softened
3 lg. eggs
3/4 c. water (I used applesauce instead, and the texture was just fine)
2 c. unbleached flour
2 tsp. baking powder
1 tsp. baking soda
1 tsp. (or more) cinnamon
1 tsp (or more) vanilla extract
Grease and flour a 9 x 13 inch pan. Beat together mashed banana and soft butter until creamy. Beat in water. In a separate bowl, beat eggs until very foamy. Beat into mixture. Blend in flour, baking powder, baking soda and cinnamon. Beat until smooth. Spread batter evenly in pan. Bake at 350 degrees for 20 minutes or until a knife inserted comes out clean. Cool. Serves 8-10.
I put it in several pans to make thinner layers, then used a cookie cutter to cut heart shapes and stack them to make a smaller/taller cake. I also used cool whip (that I colored pink) for the frosting and in between the layers - I think it makes for cuter pictures!