Preheat oven to 200°F (93°C). Season beef and dredge in 1 1/2 teaspoons of the flour seasoned with 1/4 tsp salt and 1/4 teaspoon pepper. Heat oil in oven-proof skillet and brown beef over high heat, 2 to 4 minutes. Remove meat from pan.
Reduce heat to medium. Add onions to pan and saute; until just softened, about 5 minutes. Add garlic and cook until golden. Stir in remaining flour and cook until it just begins to colour, about 1 minute.
Pour in beer, tomatoes and 1 cup beef broth; add bay leaf , thyme and carrots. Return beef to pot. Bring to a simmer, cover and place in oven. Cook until meat is tender, about 1 to 1 1/2 hours. Check on stew occasionally. Add remaining 1/2 cup beef broth if liquid is running low.
Ten minutes before serving, add peas to stew. Cover and let stand. Season to taste and sprinkle in parsley, then serve in 1-cup servings.