The Deus Ex series is a great and obvious choice but here are some games I would recommend if you're into cyberpunk:
Shadowrun Returns (also check out Shadowrun Hong Kong and Chronicles)
These games are based on the Shadowrun tabletop game, which combines cyberpunk with fantasy, which means you also have access to magic and magic races. It's a fairly unique world and one I've gotten very fascinated by personally.
System Shock 1 & 2
These games predate Deus Ex, but were huge inspirations for it. Definitely worth giving a look.
Syndicate
Specifically the 2012 remake. A really underrated FPS by the same people who went on to make the new Wolfenstein games. The original is also worth checking out but is in a very different genre altogether and I find the remake more fun to play personally. Has a VERY good multiplayer suite that sadly doesn't have many players nowadays. Think Deus Ex, except a bit more action focused.
Project Snowblind
It was originally going to be a Deus Ex game but became something else. It's more of a straight up shooter but it has some neat cyberpunk elements such as augmentations.
Perfect Dark
The spiritual sequel to GoldenEye, using the same engine. One of the most technically impressive N64 games ever. Very dystopian future with plenty of cyberpunk influences.
Hard Reset
A shooter with a very strong cyberpunk aesthetic, reminiscent of Blade Runner to a large degree. Extremely recommended!