Although I want to read batman inc and the current Batman I always like reading the most important stories chronologically for a comic book series before going deep into later issues. For one I like reading up on the history of the character and it eliminates some of the annoyances that happen when writers reference past events or characters and you have no idea who or what they're talking about
Morrison is going to reference events and characters from Batman's entire 70 year history. This would also be required reading then:
Honestly those 3 are more important to Morrison's Batman than anything on your reading list outside of maybe Year One.
They changed their list. This was the original version:
25) Venom by Denny O'Neil (W), Trevor Von Eeden & Russel Braun (A)
24) Knightfall Part One Broken Bat by Chuck Dixon & Doug Moench (W), Jim Aparo, Norm Breyfogle, Graham Nolan & Jim Balent (A)
23) Nine Lives by Dean Motter (W), Michael Lark (A)
22) The Man Who Laughs by Ed Brubaker (W), Doug Mahnke (A)
21) Thrillkiller by Howard Chaykin (W), Dan Brereton (A)
20) JLA: Tower of Babel by Waid, Johnson, Priest, Ostrander (W), Porter, Scott, Pajarillo, Raimondi, Battle & Lashley (A)
19) Tales of the Demon by Denny O'Neil (W), Brown, Neal Adams, Norvick, Michael Golden & Newton (A)
18) A Lonely Place of Dying by Marv Wolfman (W), George Perez (A)
17) Strange Apparitions by Steve Englehart and Len Wein (W), Walt Simonson and Marshall Rogers (A)
16) Gothic by Grant Morrison (W), Klaus Janson (A)
15) A Death in the Family by Jim Starlin (W), Jim Aparo (A)
14) Black and White Vol. 1 by Various
13) Gotham By Gaslight by Brian Augustyn (W), Mike Mignola (A)
12) Batman Adventures: Mad Love by Paul Dini (W), Bruce Timm (A)
11) Blind Justice by Sam Hamm (W), Denys Cowan (A)
10) Hush by Jeph Loeb (W), Jim Lee (A)
9 ) Batman & Dracula: Red Rain by Doug Moench (W), Kelley Jones (A)
8 ) Dark Victory by Jeph Loeb (W), Tim Sale (A)
7 ) Son of the Demon by Mike Barr (W), Jerry Bingham (A)
6 ) The Cult by Jim Starlin (W), Bernie Wrightson (A)
5 ) The Long Halloween by Jeph Loeb (W), Tim Sale (A)
4 ) Arkham Asylum by Grant Morrison (W), Dave McKean (A)
3 ) The Killing Joke by Alan Moore (W), Brian Bolland (A)
2 ) The Dark Knight Returns by Frank Miller (W & A)
1 ) Year One by Frank Miller (W), Dave Mazzucchelli (A)