How does one make a glaze that will make fondant look shiny such as with a shiny bowling ball?

If you have an airbrush, lightly mist it with clear water. Or you can take a slightly damp cloth and rub it lightly. Either way, let it dry and then repeat.
The shine will get better the more you do it.
I like misting it better, it seems to be more even. Yopu can also use a hand held steamer for just a few seconds.

You could add corn syrup to your 'paint' mixture. I have also heard piping gel, but haven't tried it and it won't dry, of course.

I do this quite often! I just made a purse cake (my first!) and I needed it to resemble that soft leather.



To get this shine, I water down some piping gel with clear vanilla or almond, you can use plain water too but I prefer to use the almond. I brush the thinned down gel all over and you get instant shine. Let it dry a couple hours (i usually let it dry overnight) and it dries perfectly! The fondant will still be soft and everything, just really shiny and not tacky or anything. I think it would work great for a bowling ball.