I bet lists going to be long! Arcade games I have seen or played, in no particular order of names I still remember:
moon patrol - I played it few times, but always sucke (now I'm much better) plenty of cabinets everywhere,
mission xx - I've seen that cabinet in only one arcade, never again. I actually liked it. It reminded me sort of xevious in sense that you could shoot air and ground targets independently
grobda - loved it, but again only in one arcade ever,
green beret - abundant, played it only few times again sucked at it (still am) always liked to watch other play,
gryzor (later I found out it was really contra) it was here and there not too popular
defender - super hard! But I loved to watch people that knew how to play 'em,
1942 - bleh never liked this game, tried maybe couple of times
flying shark - great looking game, which I sucked at, again mostly particpated behinf\d someones shoulder
mk1, mk2, mk3, - never put a single coin, but played it many times on Amiga
warlords - loved it! Sole reason I purchased 2 spinners, very unpopular. again only one arcade had it for very brief period.
robocop - I don't remember playing it in arcades, but completed it on Amiga,
mikie - never played it at arcades, but I like it now on mame.
pac man - bleh to this day I don't understand the appeal,
donkey kong - never liked it,
street fighter 2 - again only behind a shoulder, never played it once,
vigilante - nothing special, I think I tried it few times,
commando - very hard (but I liked the action), again either ZX Spectrum or Amiga got most of my time.
Knuckle Joe - The only arcade I can assume I completed (made it past final boss, after which game would resume from beginning)
robotron - I liked to watch good players, can't recall if I ever tried once ,
tempest - one of my favorites!,
joust - never played once,
bosconian - back then I thought was hard, but now I like it,
bank panic - few times, available only in one arcade,
pit fighter - never played it, but I think it might have been first game either before or just after mk 1 to use digitized fighters, I was impressed.
galaga - never got into it, still not a big fan
time pilot - loved it.,
gorf - liked it better than phoenix and galaga and space invaders and whatever else was emualting than those other mentioned games combined,
xevious - loved it (mostly watch how others played and what's next!),
scramble - It was pretty cool,
cobra - as above,
shinobi - here and there, same on Amiga,
asteroids - it was pretty cool,
pole position - I don't think I tried once,
lode runner - again only one arcade had it, which on top of that was far away, I played few times and l liked it,
trojan - it was here and there, kind of liked it.
errr, uh, don't remember anyting more at the moment, will update as I recall (or not if no one cares!)

If you decide to post here and can't remember a game at the moment, then if you wanna add it later, please just edit your earlier post don't make 100 posts with different games