In a small bowl, combine the ricotta cheese, powdered sugar, and vanilla extract. Stir in the mini chocolate chips. Set aside.

In a shallow bowl or pie plate, whisk the eggs and heavy cream together. Spread 2 slices of the bread with the ricotta mixture, about 1/2 cup per slice. Place the other slices of bread on top and gently press them together. Carefully dip both sides of each sandwich into the egg mixture until well coated.

In a large skillet, melt the butter. Add the French toast sandwiches and cook until golden, about 4 minutes per side. Cut the sandwiches in half on the diagonal and transfer to plates. Dust with confectioners' sugar and serve immediately.