True, it is only two team-ups of the teams, but each of them carry over more than two issues, and involve more than just the Justice League of America and Justice Society of America.
Here's a look at the special meetings....
Targets On Two WorldsBrainwave recruiting villains (Killer Frost, Signalman, Cheetah and Floronic Man) from Earth-1, and Monocle, Psycho-Pirate, Rag Doll and the Mist gotten by the leader of this new Secret Society of Super-Villains....the Ultra-Humanite (one of the Golden Age Superman's very first villains).
After Brainwave brings the four to his home Earth and the Ultra-Humanite's headquarters, that villain explains his plan....that, if 10 heroes from the JLA and JSA can be sent to limbo, either Earth-1 or Earth-2 will lose all its heroes as the cosmic balance readjusts itself!
Bonus: the George Perez JLA/JSA pin-up!
Countdown To Crisis
Then, the plans continue, with Psycho-Pirate taking Hourman on E-2, Signalman taking Batman on E-1, Rag Doll getting the Flash on Earth-2, Floronic Man besting Atom on Earth-1, Brainwave besting Johnny Thunder and his Thunderbolt on E-2, Killer Frost capturing Firestorm on E-1, and the original Superman confronting his now simian bodied Ultra-Humanite, and losing on E-2.
The villains place the 10 heroes in Ultra-Humanite's special cells, and transport it to limbo......
Crisis In Limbo
Killer Frost, Signalman, Cheetah and Floronic Man find Green Lantern on Earth-1, defeat him, and take the transporter tube to the JLA Satellite, defeating Elongated Man there....and then use the JLA's Transmatter Machine to go to limbo to free all 10 heroes....who then go to Earth-2, and toss the Earth-2 villains all into limbo as well (and, when they return to reality, Earth-2 gets its heroes back).
Flash #305, the Golden Age Superman is next in DC Comics Presents Annual #1, the Earth-2 Hawkman is next in Wonder Woman #291, and Hourman and Johnny Thunder show up next in the JLA/JSA team-up after the next one, with the Earth-2 villains all showing up next to accidentally help form Infinity, Inc.
Crisis Times ThreeCrime Syndicate of America!
The JSA found themselves in the limbo prison that the CSA was in, while Power Ring, Johnny Quick, Ultraman, Owlman and Superwoman fight the JLA, and leave the JLA Satellite. The JSA break free from their extradimensional prison, but end up on an Earth-Prime destroyed by nuclear war! The JLA use their Transmatter Machine to go to Earth-2, to find the JSA HQ unused since January of 1942....and Earth-2 now ruled by Per Degaton. So, they go back in time to the JSA's HQ in January of 1942....and meet...the All-Star Squadron?
Head down to the All-Star Squadron issue for a little back story.....
The 'Mystery Men' Of October
This time, he ends up in limbo and finds the Crime Syndicate of America (from Earth-3), frees them, has them take Cuban nuclear missiles from Earth-Prime's 1962 Cuba (during the Cuban crisis), then sends them to replace the JSA during their transmission from Earth-2 in 1982.
Meanwhile, All-Star Squadron members Johnny Quick, Liberty Belle, Commander Steel, Robotman and Firebrand fight Nuclear (an Earth-2 Wonder Woman foe) in front of the JSA Brownstone, but he escapes. The heroes go inside to find...the five JLAers!
The Bomb-Blast Heard 'Round The WorldEarth-Prime had no super heroes in the 1960s). The JLA and All-Stars watch Degaton launch one missile as proof (with the JSAers showing up right before the blast)...and Degaton feels that at least the Allies will surrender to him to save the world!
Master Of Worlds And Time
Let Old Acquaintances Be Forgot...
The JSA would show up next in the first issue of Infinity, Inc.....as Huntress continued her back-ups in Wonder Woman.
the first Flashes met, to the first JLA/JSA team-up, and even Legion's future and the past...and so much more.
Still, there are a few JLA/JSA stories that didn't get collected, and more than a few solo meetings of multiple Flashes, multiple Green Lanterns, multiple Supermen and more....and check back as the tale of the last JLA/JSA team ups will be told!