Green Arrow continued to appear in WORLD'S FINEST COMICS in the early 1960s--he was squeezed out of ADVENTURE COMICS at the end of the 1950s. In 1963, Aquaman and Green Arrow started to alternate for the back-up spot in WORLD'S FINEST. But Batman's "New Look" saw the departure of Jack Schiff. When Mort Weisinger took over WORLD'S FINEST COMICS--issue 141 (May 1964)--Green Arrow was given his marching orders, with mostly just reprints used for the back-up feature. This is ironic, because Weisinger co-created Green Arrow.
Weisinger did occasionally feature Green Arrow and Aquaman as guest stars in Superman family stories, so maybe he felt some creative ownership. And I wonder if it wasn't Mort who suggested Aquaman for the spot on THE SUPERMAN/AQUAMAN HOUR OF ADVENTURE. That decision probably changed Arthur Curry's life. Having once been animated, he just naturally would get more cartoon gigs.
In THE BRAVE AND THE BOLD, Green Arrow teamed with Martian Manhunter in issue 50 (October-November 1963), then with Batman in issue 71 (April-May 1967). And, of course 85 (August-September 1969). Other appearances across different titles were mainly cameo appearances in the 1960s.
Once Batman was the permanent star of THE BRAVE AND THE BOLD, Green Arrow (Batman with a bow) became one of the recurring guest stars (seems like Boltinoff, Haney and Aparo had certain characters they liked to re-use for the team-ups).