Whisk peanut butter, soy sauce, lime juice, rice vinegar, honey, garlic, sriracha, sesame oil, and warm water until smooth.
Cook vermicelli per package directions, rinse under cold water, and drain very well.
Prep fillings: shred lettuce, cut carrots and cucumber, slice green onions, pick herb leaves, and halve shrimp.
Set up a rolling station with a damp cutting board and a wide shallow bowl of warm water.
Soften one rice paper in warm water for 10–12 seconds, then lay it flat on the damp board.
Layer lettuce, a small bundle of noodles, carrots, cucumber, herbs, green onions, peanuts, and shrimp near the center.
Fold the sides over the filling, then roll up tightly from the bottom to seal.
Repeat with remaining ingredients. Serve the rolls with the peanut dipping sauce.