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Whisk together hoisin sauce, soy sauce, honey, ginger, garlic, and crushed red pepper in a 3 1/2- to 4-quart slow cooker until well combined.
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Add chicken and stir to coat in the sauce.
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Cover and cook on Low 5 to 6 hours or on High 2 1/2 to 3 hours, until an instant-read thermometer inserted into the thickest part of the chicken thighs reads at least 165 degrees F ( 74 degrees C).
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Stir together water and cornstarch in a small bowl. Stir cornstarch mixture into the slow cooker along with red bell pepper and sugar snap peas.
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Cover and cook on High for 15 minutes, or until the sauce has thickened slightly and vegetables are crisp-tender.
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Serve the chicken and vegetables over rice. Garnish with green onions and sesame seeds.