Doesn't seem to be a browsable genre and I can't think of any to search, but I was just looking for some good old fighting games that I could play (I suppose SNES is best for this, but still).

Do you mean something like this:
http://www.gog.com/game/ultimate_body_blows

http://www.gog.com/game/guilty_gear_x2_reload

Guilt Gear X2 Reload
Street Fighter Alpha 2

The best ones here, I think...

Only Street Fighter Alpha 2 and Guilty Gear is all I know. Mortal Kombat Arcade Collection, Super Street Fighter II Turbo HD Remix, Killer Instinct, etc. would be really welcom though.

Also Kiribati? Only GOG introduces me to nations I never heard of ;) (No offenese given)

http://www.gog.com/game/street_fighter_alpha_2
http://www.gog.com/game/guilty_gear_x2_reload
http://www.gog.com/game/guilty_gear_isuka
http://www.gog.com/game/megabyte_punch
http://www.gog.com/game/ultimate_body_blows

:)

Thanks guys! I think these games looking great. Agreed Mortal Kombat would be nice game they could add :)

I would like to see some of the old 3D Beat 'Em Ups on GOG. Like X-Fighter, Battle Arena Toshinden or SEGA's Virtua Fighter.
One of the latest games like this, some kind of arena Beat 'Em Up that really was fun for me, was Kung Fu Strike. Obviously a Chinese production that was so dirt cheap on release that I thought I could not waste any money with the game. It is really surprisingly good and very challenging for these days. They should bring the game to GOG too, it would be a nice addition!

Some of the best 2D Beat 'Em Ups were on the NeoGeo in my opinion. King of Fighters, Samurai Shodown or Art of Fighting anyone?