Here are my favorites, in no particular order and not limited to these, most of them with brief descriptions (You don't have to read them):
Computer (I like the sound of that better.):
- SimCity 3000
(Too bad you can't have custom buildings anymore past that.)
- Amazon Trail
(Both original and third edition)
- Oregon Trail 5
- Living Books
(Even though they're not technically games, but I loved interacting with stuff in them.)
- Lego Creator
(Not technically a game either, but I'd prefer that over Minecraft for certain reasons.)
- 3D Model Designer (Or whatever that's called; I can't remember.)
(Another non-game, but it has the same reasons with LC.)
- SimTown
(Clicking on the buildings I found amusing.)
- Anything Tycoon
(Roller Coaster Tycoon 3 and Lemonade Tycoon 2 especially.)
Console:
- Mario Party 3
(I put that on top because I preferred that over Mario 64, and it felt special to me.)
- SimThemePark
(It's on PC as well, but I put it there because I preferred that in my time.)
- Iggy's Reck'n Balls
(The stage getting all blown up of from first place was super-exciting.)
- Rolly Robot (Whatever that's called)
(To be honest, I only played it because of the customizable roller coaster.)
- Super Mario 64
(Similarly with RR, I only played it to explore the different worlds.)
Mobile (Even though these were only a few years ago.):
- Where's My Water?
(I loved interacting with the different liquids and mechanisms.)
- Bad Piggies
(Having a custom vehicle was the best part; one of mine could fly both horizontally and vertically well.)
- The Angry Birds series (Sort of; I preferred Bad Piggies...)
- Some amusement park management game that also involved smilies...
Looking at that list, computer games top the list in quantity (And quality to me!); they're more memorible to me than any of the others, especially Living Books. How I would love to relive them...