But, there were a few occasions where they did, but they seemed to be a little strained, as Superman and Green Lantern are two of the most powerful heroes on Earth!
World's Finest Comics 201
Superman and Green Lantern both try to stop a swarm of meteorites from smashing into the Earth, but nearly cause a bigger disaster because they didn't work together. A Guardian of the Universe appears, setting them a challenge to decide which of the two will be Earth's interplanetary protector. The contest is to be moderated by Earth-2's Dr. Fate, as they must go through a mystic tunnel, and face their greatest fears.
This issue, while not guest-starring Dr. Fate, does have Green Arrow, Atom and Hawkman (all of whom also work with Superman).
DC Comics Presents 6
This time around, Clark Kent and Lois Lane are getting a media award, as Clark trips into Lois....preventing her from being crushed by a falling Green Lantern! Green Lantern hands his ring off to Clark, manifesting a Green Lantern uniform and flying off, at least until Superman stopped him and took the ring (a little illusion made by Clark to keep his dual identity). The power ring explained Green Lantern was defeated by Star Sapphire, and Superman went to fight her, but without success. Star Sapphire kidnapped Green Lantern, planning to marry him, but Superman and Green Lantern stopped her.
DC Comics Presents 26
Superman and Green Lantern meet on the JLA Satellite as Hal takes over for Clark, who leaves. Soon after, Hal gets a telepathic summons from Green Lantern Archon Z'gmora, who needs Hal's help, being trapped in another dimension. Hal goes there after recharging his ring, to find that Archon is already dead, duplicated by N'Gon....who was unable to escape this dimension due to Archon destroying his own ring. Duplicating Hal and taking his ring, N'Gon brings Superman to his dimension, and battles Superman as Green Lantern/Hal, but the JLA members manage to defeat N'Gon and return home, realizing each other's worth.
New Teen Titans!
Of course, Superman and Green Lantern had a few other meetings as well, both before and after the Crisis On Infinite Earths, but these were some of the earliest!