That's awesome.
I can't remember some of the oldest games I had because they were for the commodore 64 and my parents threw that away when it stopped working. I do remember having Montezumas Revenge for it and it being totally awesome.
Other more obscure games I remember are
Quarentine
Menzobmerazam or some :skull::skull::skull::skull: like that
Midnight Rescue
The Yukon Trail
Challenge of the Ancient Empires!
Bump n Jump
Then there are other games that I love to still go back and play =D
Warcraft
The Legend of Zelda
Bigfoot
Jaws
Jackal
Donkey Kong
Good times =D
Each time I encountered a new alien race in X-Com was just like "What?! WHAT?!"
Floaters: What? They can fly? How is that fair?
Cyberdiscs: I can't kill this thing! I've hit it with like four grenades! And it just won't di-DEAR GOD HUGE EXPLOSION!!
Snakemen/Chrysalids: Okay, these aren't SO bad I guess. Actually yeah, I can take these guys alright. But what's this insect looking dude? Wait, HOW far did he just run?! He just killed my g... no, he just turned my guy into a zombie!! THE ZOMBIE JUST HATCHED A NEW CHRYSALID! JESUS CHRIST GET IN THE SKYRANGER!
Mutons: Someone get the blaster launcher! Actually, get two!
Ethereals: Smurf this, I'm going to start again.
Sectoids: .... they never mind controlled me last time T_T
I used to love Pushover. Not only was it sponsored by Quavers (one of the mightiest of crisps), but it was a pretty funny little puzzle game. No idea if they did a follow up or not.
Games that me and my friends got the most excited over tended to be fairly run of the mill ones. Dungeon Keeper was something that me and my friend Mark got really into. I remember once it being time for me to go home but we convinced my Dad to let me stay ten minutes or so extra to see what would happen if we levelled up a Horned Reaper to level 10. Not sure if you'd count Dungeon Keeper obscure (it's not as well known as Bullfrogs other games such as Theme Park and Theme Hospital), but it was a great game in its day. Used to like Jazz the Jackrabbit as well.
Not my words Carol, the words of Top Gear magazine.