It’s mixed doubles in Detective 559 (Feb. 86), as Moench and Colan bring together Batman, Catwoman, Green Arrow and Black Canary in a story about corporate malfeasance and sabotage.
It begins as Green Arrow stops Batman from apprehending a thief. Green Arrow knows the man, and his beef against the Kremson corporation, and sympathizes with his struggle against them, while Batman is furious that Arrow would flout the laws in Gotham.
Black Canary steps in to try to play peacemaker, but the guys continue their fight.
The best thing about this story is also the worst thing. The arguments between Batman and Green Arrow are excellent, thought-provoking and entertaining, as each have valid points. But the story consists largely of panels of the two of them talking.
Catwoman gets enlisted by Batman to go undercover at Kremson and find out more about what is going on. Her cover gets busted right away though, so we do get to see all four in costume by the end.
While Batman and Green Arrow are given some conflict, Black Canary and Catwoman just relax and get along with each other. It works, but it’s a bit of a cop out. I cannot think of another story that has them happily clinking coffee mugs together.