WHISK yogurt with honey and vanilla in a large bowl until smooth.
SCRAPE mixture into a pre-frozen ice-cream-maker bowl and churn according to manufacturer’s instructions, 30 to 45 min. Transfer to a covered container and freeze up to a month.
To make Blueberry-swirl frozen yogurt, combine 1 cup blueberries with 1/4 cup honey and 2 tbsp lemon juice in a small saucepan set over high. Bring to a boil. Reduce heat to medium and gently boil, stirring occasionally, until syrupy, 8 to 10 min. Transfer to a metal bowl and chill in freezer until cold, about 1 hour. Scrape alternate layers of churned Vanilla Frozen Yogurt and cold blueberry syrup into containers before freezing.
Tip: To serve, let stand at room temperature until slightly softened, 10 min.