Sift flour, baking powder, cinnamon, and salt together in a bowl.
Whisk eggs and confectioners' sugar together in a large bowl. Add milk, 1 teaspoon oil, and vanilla extract; mix well to combine. Add flour mixture; stir until just combined. Gently fold bananas and strawberries into batter.
Heat 1/4 cup oil in a large nonstick skillet over medium heat. Scoop 1/4 cup batter at a time into the oil and fry fritters, in batches, until light golden brown, 2 to 3 minutes per side. Drain on paper towels.
