Just for nostalgia reasons the games that I would think about having are:
Dragon's Lair - I remember being 7 or 8 and being totally blown away by this game although the gameplay is limited. I could save my quarters and just enjoy watching others play or eventually show off a bit when I got the hang of it. I've bought versions for the PC and DVD over the years to replay.
Punch Out / Super Punch Out - Great graphics and a challenge to get through all the fighters, also fun to watch or play and show off. I've got the conversion kit for
Arm Wrestling which was a knock off of Punch Out and goofier and fun to play.
Ikari Warriors - I really like the rotating 8-way joystick and being able to jump into tanks
Gauntlet - Fun to play with friends. "Wizard needs food badly!"
Tron - Liked the movie and the varied gameplay although repetitive, cool cabinet.
Track and Field - Just smashing buttons but fun to play a friend and also try and set the records.
Dig Dug, Burger Time, Elevator Action, Bionic Commando, etc...
My favorite multiplayer sports game but super rare, only saw it at one arcade ever...
Tecmo Bowl (Four Player)