Cooking stove vs cooking on open camp fire
Campfire

Advantages: Less equipment to bring, you can do everything from grilling to roasting to steaming to baking, makes you feel more awesome for having cooked over a fire.

Disadvantages: Longer to set up, can darken pots, harder to control and regulate heat, more prone to burning food/hands.

My Usage: BBQing/Grilling (Steaks, burgers), roasting (anything that can be skewered), no dish steaming/baking of foods (Tin Foil wrapping), anything else that benefits from direct heat.

Stove

Advantages: Quick to set up, It's just like cooking on the stove at home. Much better control of heat.

Disadvantages: More equipment, you're limited to what you can do on a stove (which admittedly is quite a bit).

My Usage: Anything cooked in water (soups, noodles, hot drinks), Stuff that is really better done on a pan (eggs, french toast)