How can I clean burnt food off a black ceramic gas stove?

If you’re talking about a glass topped stove, I would soak it with vinegar and soap on a sponge- so it doesn’t run down under the frame.

Then scrub in a circular motion with a nylon scrubber.

If that doesn’t make any progress, and you have a “light touch” a single edge razor blade at a very flat angle will work. It can cut the glass, so take your time.

Try an sos pad. Doesn't scratch. Or mix baking soda and water to make a paste. That's cheaper too for electric glass tops

https://www.hometalk.com/diy/clean/appliances/q-how-to-clean-a-cooktop-gas-stove-43406363

I have a regular gas stove not a glass top and the food is burnt on its all black under the burners was what can I use to try to get more of the burnt on food off of it without running the shine on it. I was in hospital and no one cleaned the stove after each use so now its burnt on tried a lot of stuff and still cant get the shine back

I think steel wool might shine it up a bit. To keep from scratching the surface I would use oven cleaner to get the burned stuff off.

I have a great method. https://www.exquisitelyunremarkable.com/2017/04/the-best-way-to-clean-glass-stove-top.html