How To Restore An Old Windshield?

After several years of searching I've finally found an original screen for my Honda RVF400 NC35. It's nearly 30 years old so is hazy with lots of very fine scratches. I've googled about how to revive it and found a hundred suggestions, some of which are ridiculous. One American bloke covers his with various types of sticky tape, rips them off and thinks that it's an improvement..I can't see any difference.
So I want to know if anyone has successfully restored a knackered and hazy screen, what you used and was it 'as good as new'? Cheers

 

It hasn't gone yellow, just hazy. I think it'll polish up and there are a couple of useful suggestions here, so thanks.
By the way, I have an aftermarket replacement screen fitted atm but I wanted an original. It even has the Japanese 'warning' label fitted (not sure what it's warning about).
My NC35 is wearing an aftermarket TYGA fairing (from Thailand..very good quality) after I badly damaged the original up on the Cat'n'Fiddle several years ago, when I threw the bike down the road and into a drystone wall. It has taken over 5 years to gather replacement genuine panels. The only parts missing were the screen and an uncut undertray (people chopped the tail off to make it easier to fit our large British numberplate). Only the undertray to go now. If anyone has one....

 

That Renovo looks interesting, I might give it a go, thanks.

 

Not sure about painting the screen Joe, it would be a bit tricky to see through it! I'm trying to get the bike back to original condition so painting a very rare screen would defeat the object, but thanks for the suggestion.

 

If it doesn't slip my mind, as things often do nowadays, I shall take a few snaps when I get started.

 

I'll be practising on an old helmet visor first.