Heat 1 tablespoon oil in a large nonstick skillet over medium-high. Add broccoli and mushrooms; cook 6 minutes. Remove broccoli mixture from pan (do not wipe out pan).
Add remaining 2 tablespoons oil to pan. Add rice and cashews; cook 5 minutes. Stir in eggs; cook 1 minute. Stir in broccoli mixture, 1 tablespoon soy sauce, and pepper.
Combine remaining 2 tablespoons soy sauce, peanut butter, vinegar, and 1 tablespoon water in a bowl. Top rice mixture with peanut butter mixture and sesame seeds.
Get the best of CookingLight.com, plus special offers, in your inbox. Select any of the newsletters that you'd like to start receiving.
Thank you for signing up!You will start receiving newsletters soon.