There is a one layer cake called "Italian Love Cake" that has the texture you are looking for and its made with ricotta cheese. Even if it isn't what you are looking for you should give it a try. It's good. Here's the recipe:

1 box fudge marble cake or cake of your choice
3/4 cup sugar
4 eggs
2 lbs ricotta cheese
1 tsp. vanilla
1 (3-1/2 oz) box instant chocolate pudding or your choice
1 cup milk
8 oz cool whip

Mix cake as directed. Pour into greased & floured 13x9 pan. In separate bowl combine ricott, sugar, eggs & vanilla; mix well. Spoon over top of unbaked cake. Bake at 350 degrees for 1 hour. Cool. Mix udding with milk; fold in whipped topping. Spread over cake . Refrigerate. I added 1 tsp. almond extract to cool whip simply because I like almond flavor.

deedeebaker - thank you! This recipe sounds rich & delicious.
I will give it a try. My family loves almond flavor too!

Hi, This cake is perfect.
Cheesecake

1 pkg. yellow cake mix
4 large eggs
2 tbsp. oil
2( 8 ounces) pkg. cream cheese, softened
1/2 cup sugar
1-1/2 cup milk
1 tbsp. lemon juice
1 tbsp. vanilla
Pie filling

Preheat oven to 300 degrees.
Measure out 1 cup of dry cake mix and set aside.
In a large bowl stir together the remaining cake mix, 1 egg and the oil.(mixture will be crumbly)
Press mixture evenly into the bottom of a 13x9x2- inch pan.
In the same large bowl, blend cream cheese and sugar together.
add eggs and reserved cake mix. Beat 1 minute at medium speed.
At low speed, gradually add milk, lemon juice and vanilla until smooth.
Pour on top of crumb crust. Bake at 300 degrees for 45 - 55 minutes or until center is firm.
Cool at room temperature.
Spoon pie filling over cake and chill for 1 hour.