Cook Vermicelli noodles by dipping in boiling salted water. Stir to keep them apart. They only take a few seconds to cook. Strain immediately and cool in ice water. Set aside.
Make a glaze By boiling sugar, lime juice, mirin, garlic, and soy. Cook until it becomes a thin syrup. Cool and save for assembly.
Make the peanut sauce by whisking together all ingredients or blending in a food processor. Add more mirin and/or lime juice if it is too thick for your taste.
Julienne your carrots, scallions, and Cucumbers. You could also add Peppers and other vegetables if you like.
Separate and clean the leaves of lettuce.
Boil some water. Then turn off the heat. Dip the rice paper sheets in the hot water one at a time to make them pliable. Do not do more than you can assemble in a minute or 2. Do 1 or 2 at a time. Lay the heated, pliable sheet on a flat surfaces. Place a lettuce leaf or 2 down about 2 inches from the bottom of the sheet, leaving enough rice paper to fold around. Brush with the glaze. then put the noodles, vegetables, cilantro, and basil in a straight line on top of the lettuce in the middle of the sheet. Leave about an inch on either side. Then fold that inch or inch and a half on either side over the edge of the vegetables and noodles to create a close edge. Or, you can leave it open ended. But, it looks nicer with the sides folded in. Next, roll Up the rice paper like you are rolling a cigarette. If it has started to dry, you may need to re-moisten the top of the spring roll so it holds together. Set these "spring rolls" aside and repeat with the rest of the ingredients.
To serve, slice, very carefully with a serated knife or serve whole with peanut sauce.