Advantages of screens: can be quickly wiped dry so the bathroom doesn't stay humid for hours. Theoretically better at stopping spray from overexuberant showers, although I've never had an issue with curtains and power showers. May look better.
Advantages of curtains: much, much bigger so the floor doesn't get wet. Easy to wash so you don't get a build up of mould where they touch the bath. Cheap and easy to fit.
What do you prefer? Currently have a curtain but leaving the window ajar for 3 hours after a shower is annoying and wasteful in winter. It's a gravity shower btw (more flow than an electric shower, less than a power shower).
As long as there's enough space to let a curtain hang without sticking to you in all sorts of awkward and embarrassing ways I'd say they work fine. Personally I'd rather have a curtain than a screen with a bath, simply because I've found a few times (when visiting people) the screen can be awkward to use, too short to stop overspray and sometimes doesn't have to shift very far before water runs down it and down the outside of the bath, which kind of defeats the point of it.
The durability of shower doors doesn't have to be a problem. Where I live now we have a shower cubicle with a door that I've adjusted a couple of times because it dropped slightly and stuck and needed more and more force to open and close. I have no idea how old this thing is, it dates back to at least 2000 and probably a fair bit before that, but hasn't caused any problems. I don't particularly like it but it does the job.
Curtains also give you a bit more scope for choosing a design in keeping with your bathroom. At my last house we had a curtain with tropical fish on it. It's harder to do that with a screen. They are also a lot cheaper to replace if you decide you don't like them any more.
