Freeze the bowl of your ice cream maker overnight or per manufacturer's directions.
Add milk, cream and honey in a saucepan and heat over medium heat until honey is dissolved and the mixture is hot. Whisk in 1/4 cup of hot milk mixture to the egg yolks and then whisk this back into the saucepan. Stir in vanilla extract and transfer to a bowl. Chill in the refrigerator for at least 2 hours.
Add the cream mixture to the bowl of the ice cream maker and prepare according to the manufacturer's instructions. During the last minute of churning add the pistachios. Transfer to a freezer safe container and freeze for at least 3 hours.