The Assorted Sim games
The Sims, Sims 2, Sims 3 are a series of life simulation games originally designed primarily by Will Wright, who also created the Sim City franchise. I've been playing "Sim" games since the first Sim City.
The original game is still fun (although the graphics are painfully primitive compared to newer 3-D games). A great option for old computers.
The Sims 2
My favorite. Still the best. Now and then the simpler 3D graphics do show the game's age.
The Sims 3
I have mixed feelings about this game. It's beautifully designed and I like the achievement-based play and open world. However. It's much glitchier than The Sims 2.