Spread 1/4 cup rice on bottom half of 1 nori sheet. Spread 1/8 teaspoon wasabi diagonally over rice, starting at lower right corner.
Arrange 3 snow peas, 2 pepper strips, and 1 avocado wedge over wasabi. Lift left lower corner of nori over vegetable mixture, pressing gently. Wrap top half of nori over vegetable mixture, pressing gently to form a cone shape. Repeat with remaining ingredients.