I've only played a few GOG available games on LAN, and will now review some of them as LAN games.
Fallout Tactics:
This can be fun, but in my experience (or because of the people I played with) it quickly turned into a silliness fest with miniguns and explosive dogs. The original game cover says there's a co-op mode, but sadly there isn't one. The multiplayer is squad versus stuff, you can choose it to be either turn based or real time. You can make all the characters in your squad (or choose premade ones) and choose their equipment. In my experience it's best to avoid the high damage weapons, because there's something shady with the network code and it can end up so that on someone's computer the minigun dealt 5000 damage and killed everyone, while on someone else's computer it only dealt 16 damage and everyone's alive, after which the other team gets taken out by ghosts that you can't shoot back at (happened so often we had to stop using advanced weaponry). <also, let it be mentioned that I love this game>
Icewind Dale:
This one is great fun if you're looking for an adventure with your friends. It's co-operative, and proper team work feels good (occasional screw ups can be funny too). Being sort of campaign driven, playing it properly takes time. Roleplaying-ish and not too fast paced.
Commandos:
Co-operative, "no one dare screw up" tactical(or realtime puzzle?) multiplayer. When the teamwork/tactics work, it's great. The rest of the time it can get frustrating if the team spirit isn't full of friendship magic. Not necessarily the best choice.
UT2004:
OH YEAH BABY! But people can get annoyed if someone's way better than the rest.
Serious Sams:
Both co-operative and competitive multiplayer modes available. Great fun, and can be played on split screen (useful if you're playing a turn based hotseat game on another computer and it's that warm & small kind of a lan party or if the number of available computers is lacking).
Heroes of Might & Magic 2/3/4:
These are all great. Turn based strategy pleasure. They take some time (quick combat cuts that but drains a lot of the fun out of it) and need patience. The way it was played in the LAN parties I attended was that the games were in hotseat mode on one computer and while someone had their turn, others played other games on different computers/consoles (I've only attended small LAN parties with close friends). 3 is the best of the series, but 2 has some special magic to it (might just be nostalgia talking).
Sadly, I haven't played other GOG available games in LAN parties, but outside that selection I recommend: Half-Life 1 (with mods like Sven co-op, Counter Strike, Firearms against bots <dunno if they're even available anymore>), Diablo 2: LoD, Warcraft 3: TFT, Starcraft, C&C: Generals, 2D Worms games, Triplane Turmoil, Jump 'n' Bump, Liero, One Must Fall 2097...