Fill a pie dish or dinner plate with warm water. Working with 4 sheets of rice paper at a time, immerse them in the water and let stand for about 45 seconds or until very pliable.
Carefully arrange the soaked sheets in a single layer on paper towels to drain. Working with 1 soaked sheet at a time, put the sheet on a clean, dry work surface. Arrange about 1 tablespoon of cilantro leaves in a horizontal line across the bottom, leaving a 1 inch border on the bottom edge and on each side. Top the cilantro with about 2 tablespoons poached shrimp. Top the shrimp with about 1 tablespoon of the carrot mixture. Lay about 1 tablespoon of peppers on top and finish with about 1 tablespoon of bean sprouts.
Roll up filling tightly in sheet, folding in 2 sides of the sheet to completely enclose the filling, and continue rolling.