Beat the eggs with a whisk for 1-2 minutes until frothy. Stir in the sugar in stages and keep stirring until it has dissolved. Then stir in the cream and milk.
Put about 1 cup of this in a separate bowl and stir in the peanut butter. Then add the peanut butter mixture to the rest of the mixture and stir everything well.
Freeze almost completely in the ice cream maker. Alternatively, put in a bowl and place in the freezer. Stir vigorously every hour to keep the ice cream creamy.
Puree the bananas with the lemon juice. Add or stir in the almost frozen ice cream mixture and let it freeze completely.