Preheat your oven to 350°F (175°C).

In a large skillet, brown the ground beef over medium heat until fully cooked; drain excess fat.

In a large mixing bowl, combine the cooked ground beef, cream of mushroom soup, uncooked egg noodles, frozen mixed vegetables, and 1 cup of cheddar cheese. Mix well.

Transfer the mixture into a greased 9x13 inch baking dish and spread it evenly.

Top with the remaining 1 cup of cheddar cheese.

Cover the dish with aluminum foil and bake in the preheated oven for 30 minutes.

Remove the foil and bake for an additional 10-15 minutes, or until the cheese is bubbly and golden brown.

Let it cool for a few minutes before serving.