It is possible to run any Linux based OS on a REAL amiga
Sure. There are several builds of Linux that still support the m68k tree, which includes the old Macs and Amigas. You DO need an MMU, though, so no base 68000 or EC020/030/040 are supported. But 68030/040/060 equipped Amigas should work.
Check out
http://www.linux-m68k.org/ for more info...
Would be nice to see Xwindows running on a real Amiga?
Till you try to use it -- it's dog-[bleep] slow on ECS/AGA. I don't think I ever got my CV64/3D running under Linux. But, I didn't try too hard, either. I played with it for a while back several years ago, and ended up wiping the drive I used for Linux to use as a ShapeShifter Mac drive, instead. :-)
Has Someone here has ever done that already or at least attempted it?
Yep -- many. It's not too hard. Google is your friend. :-)