Preheat oven to 350°F (175°C).
Combine crushed pretzels, melted butter, and 3 tbsp sugar. Press into a springform pan and bake for 10 minutes. Set aside to cool.
In a large bowl, beat the softened cream cheese, 1 cup sugar, and vanilla extract until smooth. Add eggs, one at a time, mixing well after each addition.
Pour the cheesecake mixture over the cooled pretzel crust. Bake for 45-50 minutes, or until the cheesecake is set.
Allow the cheesecake to cool.
Drizzle with salted caramel sauce, sprinkle sea salt on top, and garnish with extra pretzels for crunch.
Chill in the refrigerator before serving to let the flavors set. Slice and enjoy!