Place the chicken thighs in the slow cooker. Add the sliced onion, red bell peppers, minced garlic, and grated ginger on top.
In a bowl, whisk together the coconut milk, Thai red curry paste, fish sauce, and brown sugar until smooth. Pour this mixture over the chicken and vegetables.
Cover and cook on low for 6 hours or on high for 3 to 4 hours, until the chicken is tender and shreds easily.
While the curry cooks, prepare the jasmine rice according to package directions in a saucepan or rice cooker. Set aside once done.
Once the chicken is finished, shred it directly in the slow cooker using two forks. Stir in the lime juice and mix everything together.
Serve the curry over the cooked jasmine rice and top with chopped fresh cilantro.