Using a sharp knife, cut the candy bars into 1/2 to 1-inch chunks. You should have about 1 cup. Place the chunks in a bowl, cover, and freeze.
Whisk the eggs in a mixing bowl until light and fluffy, 1 to 2 minutes. Whisk in the sugar, a little at a time, then continue whisking until completely blended, about 1 minute more. Pour in the cream, milk, vanilla extract, and whisk to blend.
Transfer the mixture to an ice cream maker and freeze following the manufacturer's instructions.
After the ice cream stiffens (about 2 minutes before it is done), add the candy, then continue freezing until the ice cream is ready