Probably a pretty good number of games. A few that spring to mind are:
- The Legend of Zelda: Breath of the Wild
- Super Mario Odyssey
- Resident Evil 2 Remake
- Devil May Cry 5
- Dragon Quest XI
Sorry man, remakes CANT be classics. RE2 on PS1 is that, but never the remake. Just so things are understood here.
A ground up remake? Sure it can. If the new game stands as a great game in it's own right. RE2 basically only takes the story universe and characters, a retelling of the story, everything about the gameplay is new and (mostly) modern feeling.
I'd say "remasters" can't be classics, remasters just makes a classic more playable at higher resolution. But by definition if their gameplay is identical they remain classics of whatever generation they came from.