While that first issue showed some of the recruitment meetings, others were handled in the individual titles of characters.
Here is where Harbinger reached out past the Crisis title.....
...but so much more happened as well.
The rest of the Quality heroes (including Plastic Man and Phantom Lady) followed Uncle Sam to Earth-X (an unfortunate world where, at the time, the Nazis were winning World War II).
Commander Steel, behind enemy lines, defeated his enemy, but was thrown into another Earth (Earth-1) that had no super heroes during World War II, and there he remained (having a grandson, who would be Steel in the JLA).
Johnny Chambers and Libby Lawrence (Johnny Quick and Liberty Belle) got married, and headed to their honeymoon, except for the red skies, which had Green Lantern (Alan Scott) come for their help, and then ended them up on Earth-S for a time.
The All-Star Squadron as a whole was a part of the Crisis from All-Star Squadron #50 to #60, and these issues were reprinted in the Crisis On Infinite Earths Companion Deluxe Edition Volume 1 of 2018.
The rest of the team soldiered on, getting involved in the Crisis up to Infinity, Inc. #25, as well as their first annual and being part of the last JLA/JSA team up in Justice League of America #244 (with these issues all being reprinted in the Crisis On Infinite Earths Companion Deluxe Edition Volume 2 of 2019.
Harbinger, bring along Psycho-Pirate, came to retrieve Firestorm (and Psycho-Pirate's emotion manipulation powers caused a little bit of a problem first, as he induced fright in Martin Stein, the "thinking" half of Firestorm).
This issue and the next of Fury of Firestorm were this titles Crisis crossovers, and were reprinted in the Crisis On Infinite Earths Companion Deluxe Edition Volume 1 of 2018.
This issue showed that some time had passed between Harbinger taking Cyborg to the Monitor's satellite and the effects of Crisis hitting Earth...
New Teen Titans #13 and #14 are reprinted in the Crisis On Infinite Earths Companion Deluxe Edition Volume 2 of 2019.
That is when Harbinger shows up to recruit John, but first a battle happens between Green Arrow, Black Canary and Katma against Harbinger.
Explaining her need, she takes John along (as soon as he "fixes" his costume). Meanwhile, former Green Lanterns Hal Jordan and Guy Gardner are taking steps to get their hands on a Power Ring, with the Guardians of the Universe providing an unexpected answer.
John Stewart goes through the same scenes he did in Crisis #1 and #2, fighting Shadow Demons and learning about the threat the worlds face. This story, and the rest of the Green Lantern Crisis issues are reprinted in the Crisis On Infinite Earths Companion Deluxe Edition Volume 1 of 2018.
Gorilla City, Dawnstar of the 30th Century Legion of Super-Heroes, Blue Beetle of Hub City, Psycho-Pirate (JSA foe), Arion (lord of ancient Atlantis), Psimon (of the Fearsome Five), Geo-Force (of the Outsiders), the Golden Age Superman, Green Lantern foe Dr. Polaris, and Firestorm foe Killer Frost (the second version of his original foe).