Cook the creamy rice: In a large pot, combine 1 1/2 cups jasmine or white rice and 3 cups chicken broth. Bring to a boil over medium-high heat, then reduce heat to low, cover, and simmer until the rice is tender and the liquid is absorbed, about 15 to 20 minutes.
Finish the rice: Once the rice is cooked, stir in 1 tablespoon butter, 1 cup heavy cream, 1/2 cup cream cheese, 1 cup shredded mozzarella, and 1/2 cup grated Parmesan until melted and creamy. Season with 1 teaspoon Italian seasoning, salt, and pepper. Keep warm.
Prepare the chicken: Heat 2 tablespoons olive oil in a skillet. Season chicken with salt, pepper, and garlic powder. Sear in a single layer until golden, about 6 to 8 minutes.
Make the honey garlic sauce: Push chicken to the edges, add 1 tablespoon butter and minced garlic, sautéing until fragrant. Pour in honey, soy sauce, and vinegar, simmer until thickened, about 2 to 3 minutes.
Combine and warm through: Toss chicken in the sauce until heated through and well coated.
Assemble and serve: Spoon creamy rice onto plates, top with chicken, drizzle sauce, and garnish with parsley.
Notes
Cut chicken into uniform pieces for even cooking. Store leftovers in airtight containers for up to 3 days. Freeze for up to 2 months.