How to Make It
Preheat the oven to 350° and line a large baking sheet with parchment paper. Spray eight 4-inch ring molds or 4-inch shallow ramekins with vegetable spray; line the bottoms of the ramekins with parchment disks. Set on the baking sheet.
In a food processor, pulse the gingersnaps with the sugar to fine crumbs. Add the butter and process until the crumbs are evenly moistened. Press the crumbs into the rings or ramekins in an even layer. Bake in the center of the oven for 12 minutes, until fragrant. Reduce the oven temperature to 300°.
In a bowl, using a handheld electric mixer, beat the cream cheese and goat cheese until smooth. Beat in the sugar at medium speed until creamy, 2 minutes. Beat in the eggs and yolks, one at a time, until smooth, then beat in the cornstarch and rosemary.
Pour the filling into the molds or ramekins and bake for 25 minutes, until just set. Let cool, then refrigerate until chilled, 1 hour.
To serve, unmold the cheese cakes onto dessert plates and drizzle with honey.