I actually started with civrev, as I didn't own a computer with Internet until 8th grade - 2008, and not one that could play current graphics until 2012. I've always been a PS3 kind of guy, and my dad likes startegy games...
The PS3 was still relatively new, and I was keeping an eye out for strategy games, when I saw civrev previews, I saw that I could get a demo for it, so I downloaded onto my PS3. You could only play as Rome or Egypt on a prefixed map, but it was awesome, you could see the other civs abilities that made you just want more, I had to have it.
I was able to convince my mom to get it for my dad's birthday, which I felt kind of guilty about as he only did 1 unfinished game, completely with my supervision, but I loved that game.
I would pull up the armchair and ottoman (thanks to civ, I now know why the ottoman has such a strange name), right up next to our 60" tv, as I needed glasses but didn't know it yet, so I could see it all the better.
I could only play on the 2nd hardest level, but it was so fun trying out all the different civs abilities, and seeing all the sweet maps. You could only play against 4 other civs, and couldn't pick your map type except through scenarios.
I remember a game as the Mongols (who had yellow colours!) where I had a huge empire, with all the buildings built in multiple cities, so I had to build wonders, their mountain production bonus really helped, and their conversion of barb camps into cities would be much better for civ5 where they aren't on top of important resources.
SOmetime I got 2 of my friends interested, with one of them, we competed to see who could get the earliest nuke. I hold the record going as the Arabs with a lucky Oxford and strategic use of engineers and scientists, sometime in the 14 or 1500s.
I usually played random and would settle new cities on named tiles, so I didn't have to figure city placement.
I then read a Spain strategy guide online which enabled me to move up to King, it was Archipelago ICS, and it was awesome, you would use early discovery gold from named tiles to rushbuy a galleon after getting 100 gold and a free settler, put the settler on the Galleon, which can cross ocean, and find a spot which had access to whales, which you had early access to thanks to starting with Navigation, get off the Galleon and found city, then rushbuy a new settler in the new city and put it on the ship. Rinse and repeat.
I actually played a bit of a game of civ4 at the nuke players house, and basically did everything my advisors told me to do, didn't even find all civs before I went home.
The things I miss from civrev:
-How unique each of the civs are, 1 ability, 1 unit, and 1 misc seems pretty crappy after 1 starting bonus and 1 bonus for each era
-how broke you could get the game to be
-economic milestones
-ability to put cities anywhere you think would be good