I used to feel this way, but a few years ago I bought an e-ink Kindle (not a Fire/Nook color which use a regular LCD display.) The e-Ink based readers are, to me, basically identical to reading a book. No eye strain, etc. It is absolutely unlike reading a computer screen. They are black & white, no color. It looks just like a printed page. I'd recommend really any of the e-ink based displays (some nooks, sony reader, kindle, etc) whole heartedly.
The "disadvantage" is that e-ink displays aren't back lit.. so you need a light on or a book light... but that's actually the plus to me.
I really love the fact that I don't have a thousand paperbacks I need to figure out what to do with. No one wants them... and the used book stores I'd go to would only take about half and I hated the idea of killing trees when I didn't have to.
I have a kindle Fire which is just an Android tablet... and I love that for magazines... basically anything glossy/color.