What's the best screen protector?

Since you are looking for something that can "survive multiple falls", I suggest you change your search from a screen protector to a robust iPhone case.

The screen is well protected these days (not from falls, however), with its coating. But surely a screen protector cannot do anything regarding a "fall".

As sberman pointed out, you'd probably want a case if you want it to survive multiple falls.

Other than that, personal recommendation is no screen protector is required unless you intend to put your phone with keys and coins. Which is just silly.

The brand I would go with if you definitely want a screen protector is spigen. They have glass screen protectors.

If the screen protector survives a big fall all the force goes to the iPhone screen which will then shadder. The point of a good screen protector is to break so your screen doesn't. Would you rather buy a new $10 screen protector or pay $150 for a new screen? I like the Tech Armor Glass Shield but any tempered glass will do.