There were only two Arcades in my City (Cork City, Ireland) when I was a teenager but both had a good selection of cabinets. I loved playing Out Run although I only had access to the stand up version and not the cool sit down deluxe cabinet. Other games I loved were Gauntlet, Star Wars, Hang-On and Enduro Racer.
Even if I didn't have any spare cash to spend I'd often just go in to the Arcade and watch the attract screens of my favourite games as they looked so cool and were so much more impressive than what I was playing at home.
There aren't any Arcades (either retro or current) in my area anymore but I've always got MAME