01 - Heat a large soup pot or Dutch oven over medium heat. Add ground beef and cook, breaking apart with a wooden spoon, until browned throughout. Drain excess fat if desired.
02 - Add chopped onion, minced garlic, sliced carrots, and diced celery to the pot. Sauté for 5 minutes, stirring occasionally, until vegetables begin to soften and onion becomes translucent.
03 - Stir in diced potatoes, beef broth, diced tomatoes with their juices, bay leaf, dried thyme, smoked paprika, salt, and black pepper. Mix well to combine all ingredients.
04 - Bring mixture to a boil over high heat, then reduce heat to low. Cover pot and simmer for 25 minutes, stirring occasionally, until potatoes are fork-tender and vegetables are cooked through.
05 - Stir in frozen peas and continue cooking for 5 minutes until peas are heated through. Remove and discard bay leaf. Taste soup and adjust salt and pepper seasoning as needed.
06 - Ladle hot soup into bowls. Garnish with chopped fresh parsley and shredded cheddar cheese if desired. Serve immediately while hot.