What games would you suggest that have LAN support these days?
While PC may be one's first thought here, I'd also be really interested in any mobile games that might leverage one's local wifi network for multiplayer.
Baldur’s Gate 3 is the obvious suggestion at the moment. That and Civ 5 are both good if your group wants something at a slower pace. For a FPS, I highly recommend Star Wars Jedi Knight: Jedi Academy. Your players might be surprised at how good it feels even today.
StarCraft is a solid pick if you’ll have an audience.