Peel the bananas and slice them into 1/4" rounds. Place them on a plate and cover the plate with plastic wrap. Place the bananas in the freezer for 2 hours, or until frozen.
In the bowl of a food processor, combine the frozen bananas and vanilla extract. Pulse until the bananas turn into a creamy texture, about 1 minute.
Arrange four cookies flat side up and divide the banana nice cream among the cookies. Add a second cookie on top, pressing to seal together each sandwich.
If desired, immediately roll each ice cream sandwich in crushed peanuts or sprinkles.
Wrap each ice cream sandwich securely in plastic wrap and freeze it until solid, a minimum of 2 hours, then serve.
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