Bring a medium saucepan of water to a boil. Add the rice vermicelli noodles, cook for 3 minutes or until just tender, then drain and rinse under cold water. Drain well and set aside.
Prepare all filling ingredients before assembling the rolls. Arrange the shredded red cabbage, carrots, cucumber, avocado, mint, cilantro, salad greens, and cooked noodles in separate piles so assembly is quick and organized.
In a small bowl, whisk together the soy sauce, lime juice, rice vinegar, maple syrup, sesame oil, grated ginger, and water until fully combined. Set the dipping sauce aside.
Fill a wide shallow dish or pie plate with warm water. Dip 1 rice paper wrapper into the water for about 10 to 15 seconds, just until pliable but not overly soft, then lay it flat on a clean damp towel or cutting board.
Place a small layer of salad greens across the lower third of the wrapper. Top with a small bundle of noodles, a little red cabbage, carrot, cucumber, a few avocado slices, and several mint and cilantro leaves, keeping the filling compact and centered.
Fold the bottom of the wrapper up over the filling, then fold in the sides and roll tightly into a neat cylinder. Place the finished roll seam-side down on a tray and cover loosely with a lightly damp towel.
Repeat with the remaining wrappers and filling ingredients, keeping space between the finished rolls so they do not stick together.
Serve the rolls whole or cut in half on a diagonal and arrange on a platter with the dipping sauce in a small bowl on the side.