Combine banana and frozen fruit in a food processor. Blend until the mixture has reached an ice cream consistency. This will take several minutes and you will need to periodically stir the mixture to incorporate all the fruit for processing smoothly.

Using a melon baller, if possible, take two scoops of ice cream and place on half of a graham cracker. Place the other half on top to create a sandwich. Place sandwiches on parchment paper and allow to set in the freezer 10-15 minutes to firm.