Preheat the oven to 350°F and line two baking sheets with parchment paper.
Beat the softened butter, granulated sugar, and brown sugar for 2 to 3 minutes until creamy.
Add the eggs one at a time, mixing well after each addition. Stir in the vanilla extract.
Whisk the flour, baking soda, and salt in a separate bowl.
Add the dry ingredients to the butter mixture in two additions, mixing only until combined.
Gently fold in the chocolate chips and crisp rice cereal without crushing the cereal.
Scoop about 1 1/2 tablespoons of dough per cookie and place portions 2 inches apart on the prepared sheets.
Bake for 10 to 12 minutes, until the edges are lightly golden and the centers remain slightly soft.
Cool the cookies on the baking sheet for 5 minutes, then transfer them to a wire rack.