In a clean food processor bowl, process the cream cheese until smooth, about 3 minutes.
Add the sugar until smooth, about 30 seconds. Scrape down the bowl.
Add the sour cream and vanilla until combined.
Add the eggs one at a time, processing well after each addition.
Add the flour and process until combined. Scrape down the bowl and process one more time.
Divide the filling evenly among the prepared muffin cups, filling each three-fourths full.
Bake until the cheesecakes puff and are set, about 23 minutes. Let cool completely in the pans.
Cover with plastic wrap and refrigerate until chilled, at least 3 hours or up to overnight.