Kelly Lynn shoe wax. The key to it is, take a lighter and light the polish in the can, then after some of it melts, blow it out and take a soft cloth (preferably a white cotton baby diaper) and start with small circles...
NO FIRE! unless you are old school military!
ive always used kiwi and water... lots of elbow grease and they shine like a mirror
Patent leather > *
I love the look of my Thorogood patent leather duty boots, but they are hot as hell. My feet sweat even with the temps we have now. But man they are shiny!
For plain leather, I put a thick coat of polish on the boot and melt it into the leather with a lighter, then buff it hard with a cotton towel. This usually gets it damn shiny in 1 coat.
You don't have to let it dry. I normally don't. I go coat after coat after coat when I do it. I have been known to polish boots for an hour and a half before too. But it doesn't take that many to get a good shine. The first polish is going to be the toughest.
One suggestion for you. The first time you do it, you may want to use some acetone (nail polish remover) and strip the boot first. It'll remove whatever is on it first, and take more work to shine, but it'll be shinier. The only down side is, if you do this, you will HAVE to polish boots regularly. If you don't the leather will be permeable by water.