Heat olive oil in a large skillet over medium-high heat for 1 minute until shimmering. Add ground beef and cook for 6-8 minutes, breaking it into small pieces while browning. Drain excess fat if needed, then transfer to a plate.
Return the skillet to medium heat and add diced onion, cooking for 3 minutes until softened and fragrant. Stir in minced garlic and tomato paste, cooking for 1 minute until the paste darkens slightly and releases its concentrated flavor.
Add diced potatoes and carrots to your beef skillet dinner, stirring well to coat with oil and aromatics. Pour in beef broth, then sprinkle dried thyme, rosemary, paprika, salt, and pepper over everything.
Bring the mixture to a gentle boil, then reduce heat to medium and simmer for 8-10 minutes until potatoes begin softening. The cozy fall beef skillet dinner should smell absolutely amazing at this point.
Stir in diced bell peppers and sliced mushrooms, cooking for 4-5 minutes until vegetables reach tender-crisp texture. Taste and adjust seasonings, then serve immediately for best texture and warmth.