Preheat oven to 325°F (163°C).
Crush gingersnap cookies, mix with melted butter, and press into a springform pan. Bake 8–10 minutes. Cool.
Beat cream cheese until smooth. Add sugar, then eggs one at a time. Mix in spices, vanilla, salt, and flour.
Pour filling over crust. Bake 55–65 minutes, until edges are set and center jiggles slightly.
Turn off oven, leave cheesecake inside with door ajar for 1 hour. Chill at least 4 hours or overnight.
Cook apples with butter, sugar, and spice until tender and caramelized. Cool completely.
Top chilled cheesecake with apples and drizzle with caramel sauce before serving.