Preheat oven to 325°F (160°C). Line the bottom of a 9-inch (23cm) springform pan with parchment paper.
Make the cookie crust:
In a food processor, blend cookies and sugar to a fine sand-like texture
Add melted butter and pulse until combined
Press firmly into the bottom and slightly up the sides of the pan
Bake for 10 minutes, then cool until comfortable to touch
Prepare the blueberry mixture:
Mix blueberries, sugar, flour, and lemon juice until completely combined
Set aside while preparing other components
Make the crumble topping:
Combine flour and brown sugar in a bowl
Pour in melted butter and mix with a fork until crumbly texture forms
Set aside
Prepare the cheesecake filling:
Beat room temperature cream cheese on low speed for 1 minute until smooth
Add sugar gradually and mix for 1 minute more on low speed
Whisk together sour cream and cornstarch until smooth
Add sour cream mixture and vanilla to cream cheese and mix on low
Add eggs two at a time, mixing on low just until incorporated
Avoid overmixing after adding eggs
Assemble and bake:
Pour cheesecake batter into cooled crust
Gently distribute blueberry mixture over the filling
Sprinkle crumble topping over the blueberries
Place springform pan in a larger cake pan, then set both in a roasting pan
Pour hot water into the roasting pan halfway up the outer pan
Bake for 1 hour 20-30 minutes until edges are set but center jiggles slightly
Cool properly:
Turn off oven, crack door open, and cool in oven for 1 hour
Remove from oven and water bath
Cool completely at room temperature (about 1 hour)
Refrigerate at least 6 hours or overnight before serving
Store covered in the refrigerator for up to 5 days, or freeze for up to 1 month.