I haven’t read it myself, but I’ve heard good things about the current Action Comics run.

I haven’t read any Superman comics yet

Omg that’s actually helpful. Thanks for sharing that!!

If you haven’t read ANY yet. Then I’d suggest an origin, either Man of Steel (1986), Superman: Birthright, Or Superman: Secret Origin. They’re all good, my personal favorite is Superman: Secret Origin because it’s the most Silver Age feeling, and it’s still currently treated as the true Superman origin in comics today.

Also I’d suggest reading Man and Superman a 100-Page Special by Marv Wolfman, it’s almost a pre-origin, but it’s excellent.

Other early-in-his-career Superman books you could check out are Superman: For all Seasons and Superman: Kryptonite. Both are set in Superman’s early career, are self contained stories, and are both really good.

If you’re looking for an out-of-continuity Superman story there’s a lot of good one. Superman: American Alien, Superman: Earth One Volumes 1-3, Superman: Secret Identity, Whatever Happened to The Man of Tomorrow.

If you’re looking for something a little more experimental in the Superman realm, maybe try Superman: Red Son. And maybe the Superman & Batman: Generations series.

By the way, this should all be on the DC Universe Infinite app.

There’s also lots of other Superman elseworlds stories. War of the Worlds, Speeding Bullets, Dark Side, Darkest Night. Just to name a few.

A lot of the current canon for Superman comics is built upon ideas and characters fleshed out during the Rebirth (2016) runs of Superman and Action Comics. Those may be good reads if you want a foundation for modern Super books.

Definitely, as would the mini series Superman: Lois and Clark(the comic not the TV Show), and the Final Days of Superman storyline.

I would suggest reading secret origins

A little late, but I think I have some recommendations. I'm not a Superman expert by any means, but I think I've read enough to help point you in the right direction. (And maybe deprogram some misconceptions recent movies have created surrounding the character)

All-Star Superman proves that Superman can be a strong, almost mythic hero and still retain a connection to humanity.

Superman: Up in the Sky represents Superman's determination in the face of adversity incredibly well.

What's So Funny About Truth, Justice, and the American Way is the ultimate rebuttal to the idea of mega-powered super-teams with no care for collateral damage in the name of mindless spectacle, and shows why Superman is still relevant in the 21st century.

The Warworld Saga shows that you can write an epic story with Superman without sacrificing his compassion for others and his determination to save a life.

Rebirth-era Superman and Action Comics is a great representaton of a late-stage Superman, and is a good introduction to Jon Kent, who is an interesting character in his own right.

For the Man Who Has Everything is not only a great Superman story, but also showcases his connection to other members of the superhero community. Specifically Batman, Robin, and Wonder Woman, but the concept applies for the superhero community at large.

I would also recommend the "Triangle Era" of Superman comics, which begins in 1991, and provides a good deep dive into the character's wider lore and supporting cast. (Though things do take a weird turn here and there as they often did in the 90s)