To start with the mega-obvious: "Heartstopper" and "Agatha All Along." (Joe Locke is gay in both, and IRL, and nearly the whole younger cast in the former is queer.)
"Shrinking" – Michael Urie plays a gay character, and the S1 finale featured his wedding.
"Only Murders in the Building" – Michael Cyril Creighton is the only gay male character, but about 80% of the show seems gay-coded
"And Just Like That..." – Mario Cantone. (I know, I know. Visible from space.)
"Euphoria" – not sure it counts as "current," given that it may not see a third season, but it has Eric Dane playing a horrific closet case with a thing for trans and hyperfem teenagers.
"Stranger Things" – also not literally current, but its final season is coming next year, and they've already said Noah Schnapp's character will FINALLY come out (and Noah already did IRL)
"Star Trek: Discovery" – yet again, not quite current (it had its series finale earlier this year), but since it's one of THE gayest shows in recent memory (and has Anthony Rapp & Wilson Cruz as a couple), I think it merits a mention.
"The Gilded Age" – it's Julian Fellowes, so of *course* it has a bunch of gay characters, including the son of Christine Baranski's character.
"The White Lotus" – it's Mike White, so same. The first two seasons featured multiple gay characters – along with a straight British chav blackmailed somehow into fucking his "uncle."
"Severance" – definitely one of the odder ones, but Christopher Walken & John Turturro both play gay men into one another.
"Cruel Intentions" – a reboot of the movie, this time as a series (and relocated from prep school to an elite college), premieres in three weeks and has multiple gay/bi male characters.
"The Summer I Turned Pretty" – I hesitated to add this one, given that it's an admittedly cheesy teen romance thing, but one of the three main characters is a bi guy, and quite possibly the single most stunning-looking queer character ever. That said, he's bi, not gay; he's done literally nothing sexually with other guys except a five-second kiss early in the first season; he ends up falling for a girl; and the insanely hot Gavin Casalegno is apparently a hard-core fundie & Trumpist from Texas.