In a small bowl, stir together 2 tablespoons mayonnaise and 1 1/2 tablespoons sriracha until smooth; set aside (this is the spicy mayo).
Place one sheet of nori, dried seaweed, on a bamboo sushi mat with the short edge facing you.
Wet your hands to keep the rice from sticking. Using about 1/2 cup of the cooked, seasoned sushi rice, spread the rice evenly over the nori, leaving a 1-inch strip along the far edge free of rice.
Sprinkle about one-quarter of the 1 teaspoon sesame seeds evenly over the rice (divide the 1 teaspoon among the four sheets).
Flip the nori so the rice side is facing down on the mat and the nori side is facing up.
Spread 1/4 of the spicy mayo in a thin line across the nori about 1 inch from the bottom edge (this will be inside the roll).
Arrange 1/4 of the julienned English cucumber, 1/4 of the sliced avocado, and 1/4 of the shredded imitation crab meat in a horizontal line along the bottom edge of the nori, on top of the mayo.
Lift the edge of the mat closest to you and fold it over the fillings. Continue rolling away from you while pressing gently and evenly to form a tight roll; use the mat to shape and tighten the roll and press the exposed nori seam to seal.
With a sharp knife moistened with water, slice the roll into 6 to 8 pieces, wiping the knife clean between cuts for neat slices.
Repeat steps 2–9 with the remaining 3 sheets of nori, the remaining sushi rice (about 1/2 cup per sheet), the remaining spicy mayo (divide into 4 portions), the remaining sesame seeds, cucumber, avocado, and imitation crab until all ingredients are used.