Preheat the oven to 400 F. Lay ritz crackers in a single layer into a baking dish. In a medium saucepan over medium heat, melt butter. Add in brown sugar and vanilla extract. Bring to a boil, and let boil for 2-3 minutes.
Pour the mixture over the Ritz crackers. Bake for 3-5 minutes. Remove from the oven, and top with chocolate chips. Bake for another 2-3 minutes. Remove from the oven and spread the chocolate over the crackers. Let sit until it is completely set.