

The first was probably Duke Nukem 3D, released January 29th, 1996:
https://dukenukem.fandom.com/wiki/Water_mechanics_in_Duke_Nukem_3D
If you consider their hacky approach to 3D cheating (they didn’t support one part of a level to be above another, and implemented looking up/down by just distorting the image, so all corners were too pointy), then you’d have to wait a few months for Quake.
The first actually 3D first person game was Quake, released June 22nd, 1996, and it let you swim:
Not the most famous by any means, but about 30 years ago I saw an episode of Cheers where Frasier Crane’s ex-wife was trying to win him back, and she supplies her phone number through a singing doll. The doll repeated the number so many times that I still remember it: 555-6792.