Gotta admit I never played it on the Amiga, but I will now!
Do it

It's a really fun game, but it is, as I said, quite frustrating. The worst thing is that it often feels quite unfair when you die, since there are lots of hidden traps which are unavoidable unless you know they are there. So you end up playing some bits over and over again until you learn the level. I never got past level 2!
I'm loving all the remakes making it to the appstore, hope someone remakes Elite...
There are som games on the app store which are supposedly like Elite, but I haven't played them.