In my experience, the closest version to the Amiga was the Atari ST, which keeps all 100 levels and the 20 2-player levels, although it has a separate set of passwords (IIRC) and you can't use two mice for the 2-player levels like you can on the Amiga version; you must use a mouse for player 1 and a joystick for player 2. I played the 2-player levels for the first and only time with my friend on his Atari when I was about 9. To be completely fair, I can't remember something I only played 15 years ago very well, so it may have been hideously inaccurate and unlike the Amiga version, but I think it's as close as you're going to get without actually using the Amiga version itself.
I've never seen another brand of PC capable of dual mouse control (if you connect two mice to a modern PC running Windows/Mac OS X/Linux they will both control the same cursor, and I suspect this is hardware-controlled and not really anything to do with the OS), so that accounts for a large portion of why the Amiga version has never been replicated perfectly. 2-player was also stripped from the DOS version because of memory issues, from what I can tell (same ones that make the maximum number of lemmings 80 rather than 100). I think it was only replicated at all for about 3 or 4 systems, including Atari, SNES and Genesis/Mega Drive, two of which are consoles.
As for "The Crossroads", it was changed for the DOS version, and it stuck around for some reason – I've no idea really why the PSP version replicates the DOS stats for this level but the Amiga stats for every other level.
Incidentally, I also remember a level that had diggers in the original and miners on the PSP version, probably induced by the frankly weird decision to reverse the order of the icons.
The SNES version comes very close to replicating the Amiga perfectly, but it fails on several counts: Tricky 21 (as you mention); the five bonus levels at the end (arguably the biggest change of all!); no option for mouse control; graphics are slightly different, particularly of the entrance and exit, which look squashed; Fun 16/Taxing 3 (Heaven→Paradise), Taxing 24 (Death→Terminate) and the 2-player level "Graffiti" (personal messages from the game developers at DMA were replaced by crude advertising for other Sunsoft games) have the text of their graffiti changed and Taxing 3 has a different name (Paradise can wait instead of Heaven can wait); and the maximum width of a level is significantly shorter, although this only affects Fun 23/Taxing 17 (if you want to go for the hidden exit, it's in a different spot), Taxing 14, and Mayhem 30, because they're the only levels that use the entire width. Other levels using the entire width in the original usually just had junk outside of the central area, and were clipped.
