In 1993, when I was 13, I bought for my 386 SX/25 with 2MB RAM the same Creative Labs multimedia "super kit" Chieftess mentioned, which included a Sound Blaster 16, a proprietary 2x CDROM drive, and a generous helping of quality, if not cutting edge, titles. Civilization was included on a Microprose CD along with Nighthawk: F-117A Stealth Fighter, Railroad Tycoon, and Silent Service II. Retrospectively it seems ironic to include Civilization in a Creative Labs package seeing how Civilization must have the buggiest Sound Blaster driver of any major title, though the inclusion of games on floppy seems even more bizarre.
From the compilation, I was most involved with Nighthawk, giving the other games no more than a cursory overview until one day when my friends visited and horded my new Pentium 90, spending most of the time on Civilization. Though I was familiar with similar games such as Sim City and Populous, I didn't "get" Civilization right away; it seemed slow, complicated, and unforgiving. Gradually, however, it became arguably my favorite game of all time (hope Final Fantasy Tactics doesn't find out I've said this).
I played the game regularly/religiously for 2-3 years. Nowadays I crack Civilization open about once a year on a dedicated DOS/Win 3.11 WFW machine not too dissimilar from the aforementioned Pentium 90 (which I also still own), dump too many hours into it, and subsequently get burnt out, usually mid-game when I'm micromanaging 50 cities and 45 fast settlers. Repeat a year later, though I'll resume a midterm play-through assuming I don't identify a fundamental error or inefficiency.