Cook the jasmine rice according to package instructions.
In a large skillet, heat a small amount of oil over medium heat and add the chicken thighs.
Stir in the Thai red curry paste, allowing it to cook for a minute with the chicken.
Pour in the coconut milk, fish sauce, and brown sugar, then bring to a simmer.
Add the sliced bell peppers and broccoli florets to the skillet.
Let the curry simmer for 10-15 minutes, until the chicken is fully cooked and the vegetables are tender.
Taste and adjust seasoning; add more fish sauce or sugar if necessary.
Serve the creamy curry over a bed of jasmine rice and garnish with fresh cilantro.