I believe this will mostly affects games which were lacking in technology.
I'd personally LOVE to see The Sims 1 or The Sims 2 re-released with performance and resolution upgrades, and, most importantly, made to be open world. Since they're older, I believe they could very easily render the entire map like The Sims 3, but with the charm of TS1 or TS2.
I cannot think of other games, since most games I see as adequate, whereas TS1 and TS2 were bound by system performance during their respective times.
Stunt Driver from 1990. Played so much of it back in the day.
Also Stunt Car Racer hasn't really seen any equivalent since it was released, and I played it a lot across many years. It even had a networked multiplayer mode (we connected by parallel printer cable). Even watching that video clip now gives me a sense of vertigo and thrill.
To get some sense for what it could be in a remake, try playing the video at 2x speed.
That was an awesome game. I remember playing it with my friends and if you hit the top 10, we would write our name with 'the best'.
It also had a level editor. I created one with a lot of jumps.
Good times!