Combine sugar, eggs and vanilla in a medium bowl and set aside.

Note: Depending on how ripe your bananas are and how sweet you like your ice cream, you may use more or less sugar.  You will see typical ice cream recipes such as vanilla or Mint Chip call for 1 cup of sugar so again adjust to the way you like it.

Also, I often replace the sugar with "Stevia in the Raw" to make the recipe nearly sugar free.

In a separate bowl mash the bananas until just a few lumps remain then fold into the bowl with the sugar, eggs and vanilla from above.

To complete the mixture add the half-and-half and milk then mix well with a large spoon. 

Note: In this step you can customize the type of mike products used to meet your needs.  For example, I will typically use Fat Free Half-and-Half along with 1% milk to make a low fat ice cream with an icy texture.

Add mixture to your Ice Cream maker and follow their instructions until done.