Heat butter or oil over medium/high heat in a cast iron skillet (if possible) or large frying pan.
Add sliced bananas and cook about 3 minutes on each side, until bananas begin to brown and caramelize. Remove from heat.
If you have a cast iron skillet, you can bake this right in the skillet. If you do not, grease a medium-sized baking dish and transfer bananas into the dish. Evenly layer thawed berries onto the bananas.
In a separate bowl, mix bulgur, oats, brown sugar, salt, and cinnamon. Pour evenly over berries.
In a separate bowl, mix milk, eggs, and vanilla. Slowly pour evenly over bulgur mixture.
Sprinkle coconut flakes over top.
Bake at 375 degrees F (190 C) for 45 to 60 minutes, until top is lightly browned.
Enjoy warm or cold, drizzled with honey or topped with a dollop of Greek yogurt and fresh berries.