Combine soy sauce, garlic & ginger in semi-large bowl.
Add the meat & toss. Set aside for now.
Heat oil in cast iron skillet or fry pan.
Add meat & toss over med-high heat until browned (about 10 minutes). Deer meat should be tender but if you use beef, taste the beef & if not tender, place lid on & continue cooking another 30 minutes or so on low heat.
Increase heat & add all the vegetables except the tomatoes.
Toss until vegetables are tender crisp, (about 10 minutes).
Mix cornstarch with water. Add to meat mix in pan & stir while cooking until thickened.
Add tomatoes & heat through.
Serve with egg noodles or wild rice with mushrooms.