Step 1: Prepare the Crust - Preheat your oven to 350°F (175°C). Crush the graham crackers and mix with melted butter and sugar. Press into a springform pan and bake for 8 minutes. Let cool.

Step 2: Make the Cheesecake Filling - Beat cream cheese until smooth. Gradually add sugar, then eggs one at a time. Fold in sour cream and vanilla until lump-free.

Step 3: Bake the Cheesecake - Pour the filling over the crust and bake at 325°F (163°C) for 55-65 minutes. Cool in the oven for 1 hour before refrigerating for at least 4 hours.

Step 4: Caramelize the Bananas - Slice bananas and melt butter with brown sugar in a skillet. Add banana slices and cook until golden brown, about 3-4 minutes.

Step 5: Prepare the Rum Glaze - Combine brown sugar, butter, and rum in a saucepan over medium-low heat until dissolved and thickened.

Step 6: Assemble the Cheesecake - Remove cheesecake from pan, top with caramelized bananas and drizzle with warm rum glaze.

Step 7: Serve and Enjoy - Slice cheesecake with a sharp knife dipped in hot water and serve with additional rum glaze if desired.