Preheat oven to 325°F (163°C). Line a 12-cup muffin tin with paper or silicone liners and lightly grease.
Mix graham crumbs, sugar, and melted butter. Press firmly into each muffin cup. Bake 5–7 minutes, then cool slightly.
Beat cream cheese until smooth. Add sugar, then eggs one at a time. Mix in vanilla and sour cream until creamy.
Fill each liner about three-quarters full. Bake 18–20 minutes until set at the edges. Let cool.
Melt butter and combine with brown sugar and corn syrup. Add eggs and vanilla, then fold in pecans.
Spoon pecan topping over cooled cheesecakes. Bake 7–10 minutes until lightly bubbling.
Cool completely, then refrigerate at least 2 hours. Garnish as desired before serving.