01 - Heat a large soup pot or Dutch oven over medium heat. Add the ground beef and cook, breaking it apart with a wooden spoon, until browned throughout. Drain excess fat if preferred.
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 become fragrant.
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 the mixture to a boil over high heat, then reduce to low heat. Cover and simmer for 25 minutes, stirring occasionally, until potatoes and vegetables are completely tender.
05 - Stir in frozen peas and continue cooking for 5 additional minutes until peas are heated through. Remove and discard the bay leaf.
06 - Taste the soup and adjust salt and pepper as needed. Serve hot in bowls, garnished with chopped fresh parsley and shredded cheddar cheese if desired.