When my sister was working at her previous job, a friend showed her how to peel a frozen banana. First, put the banana on a plate and thaw in microwave about 45 to 60 seconds. Cut top off banana. Then simply squeeze the banana from the bottom up, and it will squeeze right out of the peel.
If you want to freeze bananas for eating like popsicles, peel them before freezing. You can freeze them in individual ziploc bags or cut them in pieces and put them in popsicle makers with a popsicle stick in them. Frozen bananas make cool and delicious treats!