Most of us are flying gas turbines, in other words, miniature turbine engines. But if you're having trouble finding information about turbines in this forum, that just tells me you haven't bothered to read anything.

If you are looking for something that is gasoline powered, then no, jet engines do not run on gasoline, they run on jet fuel, kerosene etc.
There are tons of manufactures of turbine engines these days and many many many choices of airplanes and manufactures.

So yes, there are real jets, you can buy turbine engines anywhere from 5lbs of thrust to 60lbs of thrust.