The Bullpup is a family of guns...

[SiC-Disaster]

Oh, and before i forget: it's in a miniseries of the BBC too, called Warriors.
It's about the UN mission in Bosnia and you follow a squad of British soldiers from the moment they get the news they move out to Bosnia, get to see their time there, and more interestingly: their homecoming and how they try to pick up their lifes again.
All the soldiers carry a L85a1.

 

[Cr@zY-$HeeP]

SOCOM or SOCOM II on the PS2 had the SA-80. It was either listed as "SA-80" or "IW" (for Individual Weapon).

 

[nahka]

It's some CQB version of L85. According to this pic: http://www.killingfloorthegame.com/wp-content/gallery/kfscreens/Shot00053.jpg