Note: Most of the runs I chose myself are still pretty fresh, but they are what stuck out to me.
1. Tomasi's Rebirth Run
I just keep looking back on every issue and to me, he has honestly knocked it out of the park with this series. The art is great for the most, the story moves at a great place, but takes the time for small moments with Clarks family. Plus he respects the past continuity as well as embraces the wilder side of the DCU with the recent multiverse storyline.
2. Grant Morrison's Action Comics Run
The first Superman run I ever read(and while it was coming out!) I loved each issue and couldn't wait for Morrison to do interviews about upcoming issues. While the second arc kind of dragged, it ended very nicely tying up all of the loose ends. I still have to do another reread, I wish DC would release a hardcover of the run.
3.Joe Kelly's Action Comics Run
I can't describe why I like this run so much, besides the fact that his name stuck out to me when rereading past comics. I really enjoyed his take on Clark and Lois and he didn't do a bad job handling the villains. And who could forget the iconic whats so funny with truth,justice and the american way?! Loved that storyline before I even knew he wrote it!
4. Greg Pak's Action Comic Run
So many things to say about this amazing run. For one, the only reason it is so far down the list is because of the crosovers. Even then, I can't mind them too much as knowing Pak was part of the crossovers is what made them enjoyable. He wrote a Clark that was relatable and more of a people person, one that we could get into his head with. Which was very welcoming as with a lof ot the new 52, he didn't feel that relatable and was more of a alian figure than human. (Not saying all stories in the new 52 with him was like or that it was a bad thing.) Also, his truth storyline is very underrated and it's a shame more people don't read it. Not to mention the storyline befoe Truth, after doomed, where he has a beard and returns to smallville isn't amazing either. So many great things about this run. And I can't forget the artist Kuder, who even helped with the story at times.
5. Geoff John's Action Comics/Superman Run
One of the first non new 52 Superman comics I read was Geoffs Superman: Secret Origin story and I loved it a lot. It was a much better origin story to me than the new 52 origin and I loved how easily Geoff introduced all of the characters. I honestly didn't completely love his action comics run besides arc like Braniac because I'm honestly not that interested in Krypton stories, and his run hinged a lot on that. I will count his new 52 Superman run apart of this though and say I really enjoyed his brief run. It felt like a sense of superman that had been missing from the new 52, without taking away from what the new 52 character was. Issue 39 or 40 where he stops the mugger without powers will be one of my favorite comic issues.