Pat shrimp dry with a paper towel and season with salt and pepper.
Place the flour in a small bowl. Whisk the egg with sriracha and honey in another bowl.
Combine panko breadcrumbs, toasted sesame seeds and ginger in a third bowl.
Dip the shrimp in the flour, shaking off excess, then into the egg mixture, then in the panko sesame mixture.
Heat a nonstick skillet over medium heat. Add 1 tablespoon avocado oil and ½ teaspoon toasted sesame seed oil. Place half the shrimp in the skillet and cook until opaque, 3-4 minutes per side. Remove from pan and cook the remaining shrimp with the remaining avocado oil and toasted sesame seed oil; set aside keeping warm.
In the same skillet, add the broccoli and cook until lightly browned, 2-3 minutes. Add water to deglaze the pan if needed, and continue cooking broccoli until crisp tender, 2-3 more minutes.
Serve the sesame shrimp with the broccoli immediately