Bat Family recommendations (Pre New 52)

[mera]

I'm pretty new to DC comics, I just started reading post New 52. I'm wanting to back track pre-New 52 stories and I need help. What are good series, story arcs or characters to find out about? I currently read the majority of the Bat Family titles (Batman, Detective Comics, Dark Knight, Batman &, Catwoman, Nightwing, Batgirl, Batwoman, Teen Titans, Birds of Prey and Batman Eternal) granted I think that's all of them.

I've gone back and read the Hush storyline, The Killing Joke and Batwoman Elegy. I want to learn more. Please please please help me learn more about all the Bat Family members. Include series titles and specific issues if necessary. I did just buy Batgirl 1-6 of Volume 1 and Volume 2. I heard there was a story arc where Red Robin and Catowoman hunt down Black Mask? Red Robin and Batgirl hunt down criminals? Bruce Wayne died? I kinda knew that but don't know issues and all that jazz. Help will be greatly appreciated.