Here is my full reading list, in order issue-by-issue! My current location is marked by an arrow.
Swamp Thing #20-45
Crisis on Infinite Earths
Swamp Thing #46-50
Batman: Year One
Green Arrow: The Wonder Year
Batman: Long Halloween
Batman: Dark Victory
JLA: Year One
The Question #1-11
Swamp Thing #51-56
JL #1-4
JL Annual #1
JL #5-6
JLI #7-8
Swamp Thing #57-64
Green Arrow: Longbow Hunters
Killing Joke
Green Arrow #1-8
The Question #12-19
Fables (Detective Comics, Green Arrow, Question Annual #1)
The Question #20
-> Animal Man #1-5
Hellblazer #1-8
Swamp Thing #65-75
Hellblazer #9
Swamp Thing #76
Hellblazer #10
Swamp Thing #77
Hellblazer #11
Start Sandman at any point here
JLI #11-21 (+ SS #13)
Death in the Family
Cosmic Odyssey
Green Arrow #9-16
The Question #21-30
JLI #24-25
JLA #26-30
Green Arrow #17-24
Hellblazer #23-26
Animal Man #8-14
JLE #1-10 (+ JLA #31-32)
The Question #31-36
Hellblazer #28-33
Batman: A Lonely Place of Dying
JLE #11-12
HB #35
Green Arrow #25-33
JLA #33-36
Animal Man #15-26
HB – Books of Magic #1-4
JLA #37
JLE #13-19
GA #34-43
HB #41-50
JLA #38-50 (+Quarterly #1-4)
GA #44-56
JLE #20-28
JL: Breakdown
The Flash #62-65
HB #52-56
JLE #37-44
Green Arrow #57-72
The Spectre (1992) #1-13
HB #59-61
JLE #45-50
Finish JLI omnis (except Formerly Known)
Jonah Hex: Two-Gun Mojo
Death/Return Superman
The Flash #66-79
The Power of Shazam
HB #62-69
Green Arrow #73-80
Knightfall
The Spectre #14-18
HB #70-76
The Spectre #19-22
The Flash #80-94
Zero Hour
The Flash #0
The Flash #95-100
HB #77-84 (now open until #181)
Jonah Hex: Riders of the Worm and Such
The Power of Shazam #1-9
The Spectre #23-34
Kingdom Come
The Flash #101-119
Nightwing (1996) #1-6
The World’s Greatest Super-Heroes
JLA: The Nail
The Power of Shazam! #10-20
The Spectre #37-50
JLA: Midsummer Nightmare
Nightwing #7-15
The Power of Shazam! #21-30
JLA #1-10
The Flash #130-134
The Spectre #51-58
JLA #11-15
The Spectre #59-62
Nightwing #16-18
Power of Shazam! #31-36 (Starman Crossover)
Nightwing #19-22
The Flash #135-138
Superman for All Seasons
The Power of Shazam! #37-44
Young Justice #1-2
JLA #16-23
Jonah Hex: Shadows West
Nightwing #24-29
The Power of Shazam! #45-47
Young Justice #3-4
Young Justice: Secret Files & Origins
Young Justice #5-8
Martian #1-10
Nightwing #30-34
JLA #24-31
No Man’s Land
Young Justice #9-13 (Supergirl Crossover)
The Flash #139-150
Young Justice #15-21
JSA Intro & #1-6
JLA #33-41
JSA #7-10
Martian Manhunter #13-24
Nightwing #41-46 (Open until #70)
The Flash #152-159
Young Justice #22-30
Martian #25-36
JLA #42
JLA: Heavens Ladder #1
JLA #47-54
The Flash #164-169
Shazam! The Power of Hope
JSA #11-25
The Spectre (2001) #1-9
The Flash #170-178
Young Justice #31-34
The Flash: Iron Heights
Young Justice #35-37
JSA #26-27
The Flash #179
JLA #55-61
The Spectre #11-12
JSA Liberty Files/Unholy Three/Secret Files & Origins
Young Justice #39-43
The Flash #180-182
The Spectre #13-20
Bruce Wayne: Murderer?
Bruce Wayne: Fugitive
JLA #62-64
Batman: Hush
Batman: Under the Red Hood
Young Justice #46-55
The Spectre #21-27
The Flash #184-188
JSA #28-39
JLA #65-76
JLA/JSA Secret File
JLA/JSA Vice and Virtue
The Flash #192-194
JSA #40-51
Gotham Central #1-10
Hellblazer #181-193
JLA #77-83
The Dark Knight Returns
The Flash #197-206
Gotham Central #11-18
JLA #84-90
JSA #52-55
JSA: Black Reign
Formerly Known as the Justice League (JLI Vol 3)
Gotham Central #19-25
Superman/Batman #1-13
JSA #59-66
HB #194-200
Superman: Red Son
Plastic Man #1-6
JLA #100
Plastic Man #8-11
The Flash #207-212
HB #207-215 (now open until end)
Teen Titans #1-19
Plastic Man #13-20
Gotham Central #26-36
Lex Luthor
Jonah Hex (2005) – open read
Identity Crisis #1
The Flash #213
Identity Crisis #2-3
The Flash #214
Identity Crisis #4
The Flash #215
Identity Crisis #5
The Flash #216
Identity Crisis #6-7
The Flash #217-219
Teen Titans #20-23
Superman/Batman #14-25
Green Lantern #1-6
Teen Titans #24-26
The Flash #1/2, #220-225
JLA #115-119
Teen Titans/Outsiders Secret Origins
JLA #120-123
Infinite Crisis #1
Teen Titans #29-31
Green Lantern #7-8
Infinite Crisis #2-4
Teen Titans #3, Annual #1
Infinite #5
TT #33
Infinite #6-7
Superman/Batman #26
Green Lantern #9
Justice
All-Star Superman
52
Green Lantern #10-13
Green Lantern Corps #1-9
Green Lantern #14-17
Superman/Batman #34-36 (open until #75)
Trials of Shazam!
The Flash: Fastest Man Alive #1-13
Batman #655-658
Green Lantern Corps #10-13
Bowoster Gold #1-10 (+ #0, #1,000,000)
Green Lantern #18-20
Batman #663-675
Green Lantern #21-38
Green Lantern Corps #21-28
The Flash #231-237
Booster Gold #11-14
Batman #676-683
Batman #701
Final Crisis
Batman #702
Batman #700
Superman/Batman #76-87
The Flash Rebirth #1-6
Batman/Robin #1-6
Booster Gold #15-25
Green Lantern Corps #33-38
Green Lantern #39-41
Blackest Night
Booster Gold #28-31
Batman/Robin #7-14
Return of Bruce Wayne
Batman/Robin #15-17
Brightest Day
Zatanna (complete)
Booster Gold #32-36
Batman Inc #1-8
Rest of Green Lantern/Corps
Booster Gold #37-43
Flashpoint
Finish GM Batman Vol. 3
Flashpoint: Beyond
A Thinker in Space 