No way I could list all the computers I've gone through over the years, but I can think of some highlights.
The first one was a custom-built machine made a little after they came out with ICs that had a few logic gates on them so you didn't have to use discrete transistors. It had core memory, twelve-bit words, and after it started up, you interacted with it using a Teletype model 10 (the kind with round keys, only capital letters, and a paper tape reader on the side). I'm not sure where all the parts are to that one; the Teletype is long-gone, I'm not sure where the Feroxcube memory is, but I have the big panel with the switches and blinking lights in the basement.
The second oldest machine, I believe, would have been the CDC 1700. That was built in floor-to-ceiling cabinets filled with hundreds of tiny cards, each with a couple of discrete components on it. It was kind of flaky, but I could generally get it to behave by opening up the front of it and running my fingers up and down the edges of the cards a few times. I didn't have that at home, however, so maybe that doesn't count.
Other early ones included a Northstar Horizon, a Terak, an Alpha Micro AM-100 (which took up about half of my bedroom closet along with the CDC Hawk drive), one of the old HP computers that had the tiny screen and three-inch-wide thermal printer built into it, and a Vector Graphic S-100 based machine that was modified to run five users on ADM3 terminals off of a single Z-80 chip.
For a lot of years, I had various 68000-based Alpha Micro machines, and eventually switched over to the PC world when IBM AT clones came out. Pretty early on, I managed to get a 286 overclocked to 25 MHz and was running a Seagate ST-4096 80 Meg drive hooked up to a Perstor controller which would squeeze 150 meg out of it by running it at four times the standard density, but using its own form of RLL encoding that was more robust than the usual.
Right now I've got two computers at my desk; one's a 3GHz Pentium 4, the other's a dual 2.66GHz Xeon system with 2TB of hard drive space running off of a Broadcom 8-channel raid controller. The P4 system has a Quadro4 900XGL and the Xeon system has a Quadro FX1100 video card.