Right from the founding of the Justice League and Justice Society of America, Hal Jordan and Alan Scott... aka the Green Lanterns of their respective worlds... were valued members of these teams. Hal was always a fixture of the League up until its dissolution following the Martian invasion. For Alan, after his brief tenure as the Society's second chairman, he felt a need to take a leave of absence to become an honorary member... due to his failure to save a boy's life at the hands of the evil Wotan. However, a few years later, Scott would reunite with the Society and through the years become one of its key members. Even though Hal was already affiliated with the Green Lantern Corps and Alan had joined the All-Star Squadron, both large organizations, it was with the League and Society where they truely felt at home.
Aquaman & Aqualad and Hercules
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