Add the beef stew meat, sliced onions, minced garlic, and chopped red bell peppers to the slow cooker.
Sprinkle the Hungarian sweet paprika and caraway seeds over the meat and vegetables, then stir to coat everything evenly.
Pour in the diced tomatoes with their juices and the beef broth. Add the bay leaves, salt, and black pepper.
Cover and cook on low for 8 hours or on high for 4 to 5 hours until the beef is very tender.
Remove the bay leaves. Ladle the stew into bowls and top each serving with a spoonful of sour cream and a sprinkle of chopped parsley.