You can cook on a gas generator if you lay the food near the exhaust and don’t mind cancer

I do proper quality baked potatoes in my wood burner. Wrap a baking potato in foil, pop it on the embers and turn every twenty minutes or so. Give it a couple of hours and it's perfect. I have mine with loads of butter, and tuna and sweetcorn but I'm willing to accept that there may be other valid accompaniments.

Or, yeah, you can stand a pot on top. Wood burners are great for stuff like stews and curries that want to cook for a while.