First computer — a 486 Toshiba Satellite 2xxx series laptop.
Looked like this:

That was around 1996. It was my father's work computer, so at first I couldn't really use it full time. It had 8 MB of RAM, around 520MB of HDD, no CD-ROM. The screen was a passive matrix. I'm not sure if it had AdLib (like some of Toshibas did).
Later this computer became my machine — mostly for homework. It did have some games:
- LHX. Looked really cool to me, but you can't play it too well when you don't speak English and don't understand the terminology (I'm from Russia).
- Prince of Persia — played it a lot, but I don't think I've ever beat it
- Supaplex
- Blockout
- a weird CHM file with parables from different religions and a Russian horoscope program. Here it is:
The attachment Importing Goroskop 2016-07-20 at 1.18.10 AM.png is no longer available
And that's it! We never had Internet at home, and my father never liked games.
My relatives' PC — Pentium II 233
My aunt was a programmer and lived with my grandparents, and she had a nice PC. It had a P2-233, 32 MB of RAM, some kind of a Nvidia Vanta card (I think). I now have a case that looks almost like that machine!
Though that case was ATX (not AT), the screen was probably a 14" Samsung Syncmaster 3Ne, and speakers, mouse and keyboard were made by Genius.
I used to visit them almost every weekend in the summer and would basically spend the whole day in front of that PC. Those were 1998-2001, so more of a Pentium III era. That is where I tried Doom and Quake. Noone ever told me those games were too "violent" or restricted me in any way. But I remember that those games were pretty scary/stressful for me, and I couldn't really play them for more than 20 minutes. 😀 Loved watching my aunt play them, though. We also played a lot of Worms: Armageddon together in a 2-player mode.
Other than that I remember trying to play a lot of newer games on this machine — with a varying degree of success. Black & White, for instance, had this weird thing where most of the settlers would be rendered black, without any textures — still loved that game a lot.
My first "proper" PC
We moved to another city, and I finally got a new computer of my own! It was around 2002, and finally I got a beast of a machine:
- Pentium 4 2000
- GeForce 4 Ti 4200
- 512 MB RAM
- 120 GB HDD
My parents promised to buy me a powerful PC as soon as we would move into our new appartment. So, basically, for one whole year I was reading through every hardware review I could find, then fire up Excel on my 486 laptop and write down the parts for the "perfect" PC. Then I would look for printed price lists from various computer shops and use Excel to make a price estimate.
For a whole year I was updating this spreadsheet on an almost weekly basis — pretty much obsessed. And, to be fair, my parents downgraded my dream machine only a little bit: Ti 4200 instead of a Ti 4600, no dedicated sound card and that's it. On the other hand, they switched the 19" CRT Iiyama for a 19" LCD by NEC — and those were pretty expensive back then — I think, they thought it to be a safer option.
This is the case of that machine:

Basically, this PC soon became my Morrowind machine. Also, X2 machine =) Ah, good times.