Oh. (loving Coasterbuff's story btw!!)
Excluding board/physical games now for simplicity's sake.
My first computer is a Commodore 64. I got it after I have been wishing for it, and I got it basically last of my pals. But finally my parents scraped together money and got rebate from a friend who worked at a toy store I got my Commodore 64! I did not get the disk drive as it costed as much as the computer itself. I got the tape cassette player instead. But that's the majority of friends had so no bigger complaints there.

Games took many minutes to load. We talked and waited while the screen flickered with the color bars. Sometimes it would fail to load. Tape cassette is not ideal it is analog.

(but its advantage is that it was colossal in size a 90 minutes band you can stuff like 50-80 games on, if you go the pirate route) So one has to retry.
Played games such as Great Giana Sisters. Got introduced to it before Super Mario Bros. Guess which game Giana is copy of.

It attracted to me and my main playing friend, as we are girls, so we could identify ourselves in a kind. The second player is called Maria and my name is also Maria (Maria Helena, with Helena as main name) so I always was the 2nd player. HA! Bubble Bobble, Boulder Dash, Pitfall II, Lazy Jones, Wonderboy, Bomb Jack, PacLand... and a load of games that were converted from arcade games.... .etc etc.....
Majority were copied games but I also had a few genuine games. Ghostbusters II come to mid, but it was boring as I could never get beyond the first level! Wonderboy in Monsterland was nice however. Chubby Gristle, Boulder Dash II, Arcade Classics... hmm can't remember more.
We played games, we copied tapes to share with each other.... (Turbo tape)
Also a couple of games that made us giggling and shut the door and dialed the sound the way down, but preferred to play when home alone. What? Sex Games. LOL. Playing stage by stages in more advances positions until getting climax. Very cartoon look of really ugly characters so it was just comical.

I thought I was good to write "6 Games" "6 Movies" to hide the "Sex" (sex = 6 in Swedish) but now I realize it is quite telling. lol. (the 6 movies were also very comical cartoon that flicks forward and back in 2-3 frames only)
Well, after C64 I went to Nintendo 8-bit phase. Super mario bros 1, 3, Bubble bobble again and a few other games. Games were and are expensive indeed.
The year after I got Gameboy I think it was 1991, and it was the one I played the most with because I went on boarding school so it was perfect in its portability. The game were about half the price to the NES ones so this is the one I have the most games.
In the new school when I was 13 I got introduced to PC computers. Same time as the Gameboy, it was 1991. DOS, windows 1. Used DOS mainly, word processor, primitve painting software, educational DOS "games".
There were also 2 games installed I remember, Tetris and. I think Blockout?
The "teacher's computer" had some version of Leisure suit Larry, and it was rumored it is about sex! We tried and tried and tried to open the game but the age questions were simply too hard for us to crack as it was 1. in english 2. questions that require some knowledge about American things/world stuff. Politics. Our level in English was embarrasing low and we were living in small world (this was before Internet!) as deaf pupils. Never managed to get into the game. haha.
Then somewhere along the line they upgraded the computers and introduced me to Windows 3.x.
On evening computer course (in same computer room) we got introduced to a game called Supaplex and I enjoyed it much that with my newly acquired knowledge about DOS commands I copied it onto my diskette in secret. (later on I realized it was already cracked game) That game reminds me of Boulder Dash but in new way and amazing graphics!
At that time (1994) my dad got our first PC computer. I basically annexed it as my own computer. The rest is history....
Bought Super Nintendo (quite late) with my own money, and then and so on so on.. Only Nintendos here. Got N64, Gamecube, Wii. (not Wii U yet). Gameboy as said above, two versions of the big classic one, the second being see-through. (wow! haha!) and then one pink Game Advance. That's it for the consoles/handhelds.
As for PC games.. RCT 1. I had a PC computer pal then and we introduced to each other the demo versiobn of RCT1 and I fell hard in love. <3 It was the PERFECT game for me. (of course went on expansion packs, RCT2, etc... RCT3, but RCT3 wasn't was fun. SORRY! Loved the ability to ride the rides but the game did not feel as robust)
I was also in Quake 1 phase, I played it soo much, I also was in team twice, but just short time. I wasted so much money on the phone bill. I had my own phone line. All my own fault. Then I got tired of first person shooter so it never got beyond the Quake 1.
(before that I played DOOM games and Heretic, but with less interest as I got motion sickness)
Oh almost forgot, we also played Leisure suit larry 6. Realized soon it wasn't really much actual sex just suggestions. Better that way, anyway! played 7 later on when it got released.
I played sims games too. 1 just briefly as I thought it was too boring, but 2 and 3 a LOT! Sim City 4 I played a lot. Did not play the earlier versions.
Then come a wave of disappointments. Spore which made me intrigued about the premise of "Sim everything" so I watched it closely until I got to play it and this was my first super disappointment. Then Simcity 5, then recently Sims 4. (removed the open world and the Create a color thing, where you can recolor everything, dumbed down everything) With these three disappointments I am wary of everything.. But I have to confess that I am quite hyped about Planet coaster. I am trying to be neutral and level-headed but it is hard. RCTW have already disappointed me even I haven't played the beta.
Now I have totally blabbed long time. lol.