Boil a large pot of water and cook the ramen noodles according to package instructions (about 3 minutes). Drain and rinse with cold water to cool. While the noodles cool, chop the bell peppers and cucumber into bite-sized pieces.
In a large bowl, combine cooled noodles with bell peppers, carrots, cucumber, and green onions. Toss gently to mix.
In a small bowl, whisk together soy sauce, rice vinegar, sesame oil, honey or sugar, and ginger. Adjust sweetness if desired.
Pour the dressing over the salad mixture and toss until evenly coated. Sprinkle sesame seeds on top before serving.