- Edited
I can use iPad 4 with iOS 7.1.2 without eye strain (only at minimum brightness but that's another issue). Some apps give eye strain, but thats an app thing. The stock apps are "good".
iOS 6 was good, earlier iOS 7.x versions were bad. I guess Apple read about users complaining in the Macbook eyestrain thread and reverted the video mode/PWM frequency/whatever in iOS 7.1.2. But the iOS 8 beta hurt my eyes. And some people reported the final iOS 8 version hurt them as well. That was the point where I didn't bother to upgrade anymore. Too much risk involved because it's a one way ticket. I would have tested every new iOS version, but not under these circumstances. I already replaced my iPhone with a working Android phone. I think I will use the iPad until it dies and then look for an Android tablet.
By the way: I think one can downgrade iPad 2 with Odysseus or OdysseusOTA. In the Reddit jailbreak section there are posts about this. So I think you could reactivate your iPad 2.
Edit: My iPad is an old iPad 4 I bought on release. I can not guarantee if Apple uses the same hardware in all iPad 4 devices. In fact they used different screens/display hardware/whatever in iPhones, making some models good and others eye-strainy. Pure luck to find a good iPhone (if there are any good ones nowadays).
So I opened the new iPad Air, set it up, lo and behold, it is indeed IOS7 inside. I was happy. But then after using it a 10 minutes, I get eye strain.
Maybe a version earlier than 7.1.2?