Here are some JLI suggestions:
JLI Volume 6
JLI Volume 3
I Can't Believe It's Not The Justice League
Formerly Known As The Justice League
There are others you can take from there if you like that style. Just be aware that the last two are totally for laughs, all about the funny relationships between the heroes, and their crazy personalities and the situations they find themselves in, while the others can vary from straight drama to comedy, hitting other points in between.