The earliest arcade game I remember playing regularly was Space Firebird, which was in the chip shop at the end of our road. I specifically remember standing on a footstool to play it.
The swimming baths had Kick and Run, which was the highlight of any swimming lesson. In the dithering about getting changed and gathering everyone together there was always time to stick a 10p in that. Later they had Marble Madness but I found that too aggravating to fork out on.
I guess 87-91 were my most committed arcade years. Previous to that I'd always play things whenever we went to the seaside (rarely though). That was the only place I encountered sit-down Outrun, Afterburner, Enduro Racer and the like.
We had a local arcade and one in the city centre, and my biggest rotation locally was R-Type, Gauntlet, Wonderboy in Monster Land, Soldier of Light*, Super Contra, Kiki Kaikai, Tiger Heli, Altered Beast, and... Shackled. I even remember the placement of those machines. The arcade in the city had a stand-up Outrun which was the highlight until Street Fighter II came along. I have to admit though, once we got that SNES version at home I never considered heading into town again to play it.
Same for everything that came after really. Once we got to the Playstation era the attraction of arcades had completely worn off for me, so I never got into any of the mid-late 90s big-hitters.