Cook rice according to package directions. Spread onto a lined baking sheet, toss with sesame oil, soy sauce, and chili crisp oil, then bake at 425°F for 20–25 minutes, flipping halfway through, until golden and crispy.
Prepare popcorn shrimp according to package directions (bake or air fry until crisp).
Whisk dressing ingredients together until smooth.
In a large bowl, toss cabbage, red onion, jalapeño, green onion, edamame, and cucumber with a few spoonfuls of dressing. Top with crispy rice and hot shrimp, then drizzle with extra dressing.
Serve immediately while the rice and shrimp are still warm and crispy.