Combine first 5 ingredients in a large bowl; add eggs and oil, stirring until dry ingredients are moistened. (Do not beat.) Stir in vanilla, pineapple, 1 cup pecans, and bananas.
Pour batter into three greased and floured 9-inch round cakepans. Bake at 350° for 25 to 30 minutes or until a wooden pick inserted in center comes out clean. Cool in pans on wire racks 10 minutes; remove from pans, and cool completely on wire racks.
Spread Cream Cheese Frosting between layers and on top and sides of cake; sprinkling shredded coconut on top of each of the 3 frosted layers as you go. Finally, sprinkle 1/2 cup chopped pecans on top. Store in refrigerator.
Cream Cheese Icing
Beat cream cheese and butter at medium speed with an electric mixer until smooth. Gradually add powdered sugar, beating at low speed until light and fluffy. Stir in vanilla.