Batman (Here’s a reading order up to New 52) -

• Batman: Year One
• Batman: Haunted Knight
• Batman: Long Halloween
• Batman: Dark Victory
• Catwoman: When In Rome
• Batman: The Killing Joke
• Batman: Second Chances
• Batman: The Cult
• Batman: A Death In the Family
• Batman: A Lonely Place Of Dying
• Batman: No Man’s Land Omnibus Vol.1-2

Gotham Central

• Batman: Hush
• Batman: Under the Red Hood
• Batman by Grant Morrison Omnibus Vol.1-3
• Batman New 52 Vol.1-10

Nightwing -

• Batman: Dark Victory (Robin origin)
• Nightwing: Year One (Nightwing origin)
• Nightwing: A Knight In Blüdhaven Compendium 1-2
• Nightwing New 52 Vol.1-5
• Grayson Vol.1-5
• Nightwing by Tom Taylor Vol.1-7

Jason Todd -

• Batman: Second Chances (Robin origin)
• Robin & Batman: Year One
• Batman: The Cult
• Batman: A Death In the Family
• Batman: Under the Red Hood (Red Hood origin, deluxe edition includes Red Hood: Lost Days)
• Red Hood: Lost Days
• Red Hood and the Outlaws New 52 Vol.1-7
• Red Hood / Arsenal Vol.1-2
• Red Hood and the Outlaws Rebirth Vol.1-4
• Red Hood: Outlaw Vol.1-4
• Red Hood: The Hill
• Task Force Z Vol.1-2

Tim Drake -

• Batman: A Lonely Place Of Dying (Robin origin, Deluxe Edition of Death in the Family includes this)
• Robin: Tim Drake Compendium 1

Damian Wayne -

• Batman by Grant Morrison Omnibus Vol.1-3 (Robin origin is within this)
• Batman and Robin New 52 Vol.1-7
• Super Sons Omnibus
• Robin Vol.1-3 by Joshua Williams

and also: ✶