Fill a shallow bowl with warm water. Submerge one sheet of rice wrapper in water for 5 seconds, then transfer to a clean, damp dish towel.
Place 2-3 shrimp, a small handful of vegetables, and a few fresh mint and cilantro leaves in the center of the wrapper. Then, fold the end closest to you over the filling, tuck sides in and towards the center, and finish rolling to create a sealed spring roll. Repeat this process with remaining rice wrappers.
Make the sauce by adding all ingredients to a bowl and whisking to combine.
Serve shrimp spring rolls with peanut dipping sauce on the side.