I don't think I ever had any type of games that taught teaching. I had games like hooked on phonics type stuff and a Land Before Time math game, among a few others.
Typing was never something formally taught to me, even from a video game. I guess by the 2000s they just didn't think it was important enough to be taught in elementary school to kids. Yet cursive was deemed something we needed to know.
I remember playing one of the Spy Fox games, the ozone destroying one, sometimes when I would go to speech therapy. It was such a fun game for kid me. Same situation with one of the Pajama Sam games (can't remember which).
Cannot recall ever playing any jumpstart or magic schoolbus games, though.
As for non-edu games I had as a young kid, I remember having one of the first 2 rollercoaster tycoon games (can't remember which), a few of the classic "1000 In 1" game discs (pretty sure one might have had a full-on casino game that I used to love) almost everyone seemed to have at least one of, and an I-Spy game (cannot remember which one, but I think it was in a quaint small town on an island).