Brown butter in a saucepan over medium heat, stirring constantly, about 5-7 minutes until golden and nutty-smelling. Cool completely to room temperature.
Whisk flour, baking soda, and salt in a medium bowl; set aside.
Beat cooled browned butter and both sugars well in a large bowl; mix in eggs and vanilla until smooth.
Stir in flour mixture just until combined; fold in chocolate chips. Scoop onto parchment-lined sheets; bake at 350°F 11-13 minutes, until edges are golden and rippled.
Cool on sheet 5 minutes; transfer to a wire rack to cool completely.