Place the chicken thighs, coconut milk, red curry paste, onion, red bell pepper, garlic, ginger, fish sauce, and brown sugar into the slow cooker. Stir gently to coat the chicken and vegetables.
Cover and cook on low for 6 hours or until the chicken is very tender.
About 20 minutes before serving, combine the jasmine rice and water in a medium saucepan. Bring to a boil, then reduce to low, cover, and simmer for 15 minutes until the rice is fluffy.
Stir the lime juice into the curry. Spoon the rice into bowls, top with the chicken and sauce, and sprinkle with chopped cilantro.