Shhh, shhh. The shooter doesn't exist. It wasn't a terrible game, it just wasn't Shadowrun.
This one actually predated the X-Box 360 (it was for the original XBOX). It was multiplayer only I believe as well which is a problem these days if one was trying to go back and try it. I wouldn't worry about that one though as said before, it's not a bad game it just wasn't Shadowrun at all.
If you like classic games though, Shadowrun on the SNES and Genesis were both spectacular and very different games. You can get them both pretty easily with an emulator. The Genesis one is actually credited as one of the first 'open world' gaming experiences. The new game, Shadowrun Returns (For PC) is also fantastic and community driven due to an really powerful editor and highly supported user generated content (I myself had my module, Coyotes Crusade, covered by the creators of Shadowrun in a lets play style video).
It wasn't multiplayer only, I know because the reason I loved it was because it had bot matches offline. I know it wasn't really "Shadowrun" like, but I think it was good. It had good mechanics and everything.
Yeah, the other Shadowrun games are really good, but I started off the shooter one because it was more of my thing at the time. Now I am more connected with RPGs than anything.