Heat olive oil in a large pot over medium-high heat.
Add onions, carrots, and celery and saute 4 minutes then add garlic and saute 30 seconds longer.
Add in broth tomatoes, potatoes, parsley, bay leaves, thyme and season with salt and pepper to taste*.
Bring to a boil, then add green beans.
Reduce heat to medium-low, cover and simmer until potatoes are almst fully tender, about 20 - 30 minutes.
Add corn and peas and cook 5 minutes longer. Serve warm.
*For more flavor add in more dried herbs as desired. Other good herbs to add include basil, oregano, marjoram, or Italian seasoning.