Lightly grease a 7- to 8-inch springform pan.
In a medium bowl, stir together the cracker crumbs, melted butter, and sugar until the mixture resembles wet sand.
Press the mixture firmly into the bottom of the prepared pan, keeping it level and even, but do not press it up the sides.
Place the crust in the freezer while you make the filling.
In a large bowl, beat the cream cheese using an electric mixer on medium speed until smooth.
Add the sugar and continue to beat until fully combined.
One at a time, add the eggs, beating after each addition and scraping down the sides of the bowl as needed.
Add the sour cream and vanilla extract and beat just until the mixture is smooth and creamy.
Pour the filling into the frozen crust, then tap the pan gently on the counter to release any large air bubbles.
Carefully lower the pan into the air fryer basket.
Set the air fryer to Bake at 300°F and cook for about 20 minutes, or until the center barely wobbles when shaken.
If more time is needed, continue cooking in 2-minute intervals until done.
Turn off the air fryer, crack the basket open slightly, and let the cheesecake cool inside for 30 minutes.
Remove the pan, transfer it to a wire rack, and let it cool completely.
Cover and refrigerate the cheesecake for at least 4 hours or overnight.
Slice and serve topped with whipped cream, fresh fruit, or cherry pie filling.