Local youth club I went to from 1982 for a few years had IIRC four cabs at a time which included Space Invaders, Pac-Man, Defender, Star Wars, Asteroids. Weirdly I don’t recall them being in constant use, so it’s hard to say which was most popular.
My Aunt’s pub which I visited from an earlier age had - IIRC - one arcade cab at a time but I only recall playing Mr Do! after hours.
Some kind of working man’s club my parents went to a couple of times had an area we were allowed in which had a few cabs. The only one I remember vividly was Hunchback which I was obsessed with. I remember it being difficult to get a turn.
Arcade encounters before I turned 11 in 83 were otherwise limited to holidays where I would obsess over the seaside arcades or local shops - chippies, cab offices etc. also they had a couple of machines in our local swimming pool, the most popular of which was either Galaga or Phoenix. I can’t remember which it was but it was massively popular.
From 1983 I had access to a video store near(ish) to my secondary school that had about eight arcade machines which were changed often. The ones I remember: Yie Ar Kung-Fu, Karate Champ, Pac-Land,,Shao-lin’s Road, My Hero. The first three of those were hugely popular and difficult to get a go on.
As I got older I was able to travel into central London and go to the arcades there. I remember Gradius/Nemesis being a massive deal as well as nonsense like Paperboy. I played Marble Madness whenever I came across it but my favourite games at this point were Bomb Jack and Yie Ar Kung-Fu.
I started work in 1988 and was able to visit arcades as I pleased but did so less apart from the odd trip to Trocadero or visits to seaside arcades on holidays, until Street Fighter 2 came out which I became a bit obsessed with. We had a local video store at this point (a different one) which had SF2 as well as a few Neo Geo cabs. The owner used to play me at SF2 for free which was handy.
I remember Space Harrier and Afterburner being stupidly popular but was never really impressed by them personally.
I wish my memory worked a lot better than it does.