Heat the olive oil in a large deep skillet over medium-high heat.
Brown the ground beef, breaking it up, until no longer pink. Drain excess fat if needed.
Stir in onion, bell pepper, and jalapeño. Cook until softened, about 4 minutes.
Add garlic, chili powder, cumin, smoked paprika, oregano, salt, and pepper. Cook 30 seconds until fragrant.
Mix in tomato paste, then add the rinsed rice. Stir to coat and lightly toast for 1 minute.
Pour in diced tomatoes and chicken broth. Scrape the pan, then bring to a gentle boil.
Reduce heat to low, cover, and simmer 18 to 20 minutes until the rice is tender.
Fold in black beans and corn. Cook uncovered 2 to 3 minutes to warm through.
Sprinkle cheese over the top. Cover and let melt for 1 to 2 minutes.
Finish with lime juice and cilantro. Fluff gently and serve hot.