In a large skillet over medium-high heat cook the burger, green pepper, and onion until burger is browned. Drain if necessary.
Mix all the other ingredients into the burger mixture except for the cheese. Bring the mixture to a boil; reduce heat to a high simmer, cover and cook stirring occasionally, until the spaghetti is tender. (About 30 minutes – add additional water if necessary)
Sprinkle cheese over the top and let rest until cheese is melted. Serve hot.