Preheat your oven to 325°F (163°C).
In a mixing bowl, combine graham cracker crumbs, melted butter, and sugar. Mix until well combined.
Press the mixture firmly into the bottom of the springform pan to form the crust. Bake for 10 minutes and then let it cool.
In a large bowl, beat the softened cream cheese with an electric mixer until smooth and creamy.
Gradually add sugar and vanilla extract, mixing until combined.
Add the eggs one at a time, mixing on low speed until just blended after each addition.
Add the sour cream and mix until fully incorporated.
Pour the cheesecake filling over the cooled crust, smoothing the top with a rubber spatula.
Bake in the preheated oven for about 50-60 minutes, or until the edges are set and the center is slightly jiggly.
Turn off the oven and let the cheesecake cool in the oven with the door slightly open for 1 hour.
Prepare the berry topping by combining mixed berries, sugar, and lemon juice in a small saucepan. Cook over medium heat for 5-7 minutes until the berries are softened and syrupy.
Once the cheesecake has cooled, refrigerate for at least 4 hours or overnight for best results.
Before serving, top the chilled cheesecake with the berry mixture.