Ah yes I played Civ 1 on my Amiga 500 all those years ago after seeing it on my friends Atari ST... took me a while to get my head around the concept though. Then fast forward a decade and I came across Civ III in the shops for the PC (I had just recently built my parents a PC without ever owning a PC myself!) and got hooked again.
To me Railroad Tycoon on the Amiga was the first of these types of games that got me hooked (then sim city) and like the previous post mentions I just couldnt get into the latest editions of Railroad Tycoon... RRT3 held the most promise but just wast the same, I prefered the originals CIV approach of starting from year 0 and letting you get on with it competing against other opponents to expand a rail empire rather than all the silly restricted scenarios.
Remember fondly Speedball II, Xenon II, Sensible Soccer, Robocod II, Lemmings, F1GP, Flashback, New Zealand Story, F18 Interceptor, Lotus Turbo Challenge... great stuff, the golden era?