Hi Princess,
I've always like the kind that has coconut in it. Here's a recipe from about southernfood.com, by a lady named Diana Ratray. Haven't made it, but it sounds good.
Carrot Cake Recipe is made with coconut, pineapple, shredded carrots, and walnuts.
Ingredients:
2 cups all-purpose flour
2 cups granulated sugar
1/2 teaspoon salt
1 teaspoon baking soda
2 teaspoons ground cinnamon
1/2 teaspoon ground nutmeg
3 eggs
1 1/2 cups vegetable oil
2 cups finely grated carrots (about 3 to 4 medium carrots)
2 teaspoons vanilla extract
1 can (8 ounces) well drained crushed pineapple
1 cup shredded coconut
1 cup chopped walnuts or pecans, divided
Preparation:
In a mixing bowl, combine dry ingredients; stir to blend. Add eggs, oil, shredded carrots, and vanilla; beat until well blended. Stir in pineapple, coconut, and 1/2 cup of the walnuts. Pour into a greased and floured 13x9x2-inch baking pan. Bake at 350° for 50 to 60 minutes, or until a wooden pick or cake tester inserted in center comes out clean. Place cake in pan on a rack to cool. Frost the cooled cake with cream cheese frosting and sprinkle with remaining chopped nuts, pressing into the frosting very lightly.