My first ATI card was an EGA Wonder. ('86?). A VGA Wonder followed. I had a Rage card for a while too, I think the one with 8MB on it.
The first PC I got with a specific intent for gaming had a 440MX in it. That was back when I only built business PCs and servers; a cheap boutique actually built that one, but there were dropdowns where you chose the parts. After a couple years, its cheap PSU smoked, taking lots of stuff with it. The replacement I built had a 9200SE in it. Around this time I think I became aware of the whole nVidia vs. ATI debate. I probably would have chosen ATI.
I didn't build anything new for myself for years, but did have to replace another cheap PSU (

ding!

) Then I found THG, and Cleeve's excellent guide, so when I built again I used a 7600GT; another build I did at that time had a 6600GT. It wasn't because they were nVidia, it was because they occupied the recommended slot in the range I could afford. I gave that build away, and then used a 7900GS, for similar reasons.
I'm currently running a 3850, after major disappointments with a 3870. I don't play the most demanding games, so I see no difference between those two, but my wallet does.
Today, if I were going to buy a video card, I'd probably look at the 9600GT, or maybe a more reputable brand of 3870 (e.g. not Diamond). There's better and faster out there, but I just don't need it.
All that to say that I basically agree with dtq as well, but I'd add it's more like a washing machine or refrigerator than a toaster because of the cost.
And none of my builds use less than a tier-3 PSU now; the last one and the one I'm about to build (waiting on the case!) are tier-2.