In a large skillet over medium heat, add the ground chicken. Cook, breaking it apart with a spatula, until it is no longer pink, about 5-7 minutes.
Add diced onions and minced garlic to the skillet, cooking until the onions become translucent, about 3-4 minutes.
Stir in the chili powder, cumin, smoked paprika, salt, and pepper. Mix well to evenly distribute the spices.
Add the cooked rice, black beans, and corn to the skillet. Stir to combine all ingredients and cook for an additional 3-4 minutes until heated through.
Remove the skillet from heat and stir in 3/4 cup of the shredded cheese until it melts into the mixture.
Lay a flour tortilla on a flat surface. Spoon a generous amount of the chicken and rice filling into the center of the tortilla, forming a line down the middle.
Sprinkle a little extra shredded cheese over the filling, then fold in the sides of the tortilla and roll it up tightly from the bottom to enclose the filling.
Repeat with the remaining tortillas and filling.
Optional: To make the burritos crispy, heat a non-stick skillet over medium heat and place the burritos seam-side down. Cook for 2-3 minutes on each side until golden and crispy.
Slice burritos in half, garnish with chopped cilantro, and serve with sour cream and salsa on the side.