Revolutionary Communist was a barely penetrable theoretical journal (lots of economics) produced for a while by ex-International Socialist (SWP) members. It was the opposite of the Socialist Worker idea of a socialist tabloid.
Any relation to the RCP/Living Marxism/Spiked! or RCG/Fight This! Fight That! lineages?
Anyway, I reckon my main ones are:
Socialist Worker/Socialist Review/even the bloody ISJ, for my sins
Various punk zines, especially Last Hours (which I think must have had at least one Urb as a contributor?), also MRR to an extent
Class War (2000s edition, probably not that good compared to the glory days but made an impression on me at least)
Resistance
Had forgotten about Now or Never!, but that was a good one as well, as was the occasional Schnews. Another one I'd forgotten about was the Commune, I think I'd been on the verge of volunteering to help distro that when it folded. Was the WAG paper Alarm? That was another decent Class-War-alike for a while.
I remember Catalyst being good when it had a sudoku?
Viz as pretty much a constant throughout.
I suppose Spectacular Times doesn't really count as a periodical, but I appreciated finding old copies of that.
Trying to think of actual paper-and-ink publications I've read over the last decade: main one is probably LRB, I unsubscribed after Grenfell but might re-subscribe at some point. Recently subscribed to Dope, not wildly in love with it but respect to it as an ambitious anarcho street paper. I quite rate AWW stuff but I've generally read that online rather than as a paper.
In recent years, reckon I've ended up buying Trot papers out of politeness/knowing the seller about once every six months, variously Solidarity, Socialist Appeal or Alternative.