Lemmings is much beter than Lemmings 2 the tribe. Same for Final Fight being much better than Final Fight 2/3. And again with Golden Axe being beter than 2/3.
I quite like Lemmings 2 actually, though I suppose if I am allowed to include xmas lemmings and Oh No! More Lemmings I would take that over 2 in a desert island games scenario.
As for Golden Axe do we count the arcade versions here? That said I would take 2 over 1, not really done enough of 3 compared to the others. Beast Rider I reckon is actually something of an unfairly overlooked/panned game, though it probably would have done better to not have the name.
If we are back to contentious picks though. Spoke to a friend once. He would take Worms 1 (PS1 version would have been his one of choice, don't know if he or indeed I ever played The Director's Cut) over 2 or Armageddon (did anybody actually play World Party?). Said same friend did also like Hogs of War so I guess I need better friends.
Sticking with old school strategy stuff then even with the likes of
http://worldofstuart.excellentcontent.com/cf2/cf2.htm I would still pick Cannon Fodder 1 over 2, and just because I am horrible I will mention 3 as existing.
Skipping forward a few years I suppose now. Do I pick Dungeon Keeper 1 (possibly with expansion) over 2? I think it might actually.
Sticking with that era then I dare say I would do Carmageddon (with splat pack of course) over 2 or TDR3000. Now I only have a handful of hours in 3000 and it is unlikely to be anybody's pick. That said I would probably go with the one I reviewed a while back. I was going to make a joke about 64 here but even though I brought up memories of Cannon Fodder 3, and probably by extension Dungeon Keeper mobile, I don't think I am that bad.
Speaking of things popular on the Amiga brought back as awful mobile games. James Pond... now it has been a while since I played all of them and can't separate them in my head at this point but I could see 1 being it for some people. I could also do Zool but I would also have to consider the gameboy version in this which I actually quite like, even if I understand why most would not pick it.