Break up any large clumps in the cold rice with your hands or a fork.
Heat oil in a large skillet over medium-high heat. Add rice in an even layer, press down, and let sit undisturbed 4-5 minutes until golden. Break up, flip, and cook 5-6 more minutes until crispy clusters form. Season with salt.
Whisk together peanut butter, soy sauce, lime juice, honey, garlic, and chili garlic sauce. Add warm water to thin to a pourable consistency.
Combine cabbage, carrot, cucumber, cilantro, and mint in a large bowl.
Add warm crispy rice to the vegetables with two-thirds of the dressing. Toss gently.
Divide among bowls, drizzle with remaining dressing, and top with chopped peanuts.