Essential Black Panther Reading Order

TLDR Summary

• Fantastic Four #52-53
• Panther's Rage
• Priest Run, volume 3
• Hudlin Run, volume 4 and 5
• Doom War
• Liss Run, Man Without Fear/Most Dangerous Man Alive
• Fantastic Four #607-608
• Hickman's New Avengers, Infinity, Time Run's Out, Secret Wars
• Coates Run, volume 6 and 7

Detailed Reading Order

Origin Story

• Fantastic Four #52-53

Panther's Rage

• Jungle Action #6-18

Priest Run 

• The Client (Black Panther, vol 3, #1-5)
• Enemy of the State (Black Panther, vol 3, #6-12)
• The End (Black Panther, vol 3, #13-15)
• Uptown (Black Panther, vol 3, #16-17)
• Killmonger's Rage (Black Panther, vol 3, #18-20)
• Killmonger's Reign (Black Panther, vol 3, #21-25)
• Sturm Und Drang (Black Panther, vol 3, #26-30)
• Seduction of the Innocent (Black Panther, vol 3, #31-33)
• Gorilla Warfare (Black Panther, vol 3, #34-35)
• The Once and Future King (Black Panther, vol 3, #36-37)
• Return of the Dragon (Black Panther, vol 3, #38-40)
• Enemy of the State II (Black Panther, vol 3, #41-45)
• Saddles Ablaze (Black Panther, vol 3, #46-47)
• The King is Dead (Black Panther, vol 3, #48-49)

Hudlin Run 

• Who is the Black Panther (Black Panther, vol 4, #1-6)
• House of M (Black Panther,vol 4, #7)
• Wild Kingdom (X-Men #175-176, Black Panther, vol 4, #8-9)
• Bad Mutha (Black Panther, vol 4, #10-13)
• Bride of the Panther (Black Panther, vol 4, #14-18)
• Civil War (Black Panther, vol 4, #19-25)
• Four the Hard Way (Black Panther, vol 4, #26-30)
• Little Green Men (Black Panther, vol 4, #31-34)
• Back to Africa (Black Panther, vol 4, #35-38)
• See Wakanda and Die/Secret Invasion (Black Panther, vol 4, #39-41)

Hudlin/Mayberry Run

• Deadliest of the Species (Black Panther, vol 5, #1-6)
• Power (Black Panther, vol 5, #7-11)
• Doom War #1-6

Liss Run

• The Man Without Fear (Black Panther: The Man Without Fear #513-518)
• The Man Without Fear: Fear Itself (Black Panther: The Man Without Fear #519-524)
• The Kingpin of Wakanda (Black Panther: The Most Dangerous Man Alive #525-529)

Re-Powered

• Fantastic Four #607-608

Hickman/New Avengers Run

• Avengers, vol 5, #1
• Everything Dies (New Avengers, vol 3, #1-6)
• Infinity #1-6
• Infinity (New Avengers, vol 3, #7-12)
• Avengers, vol 5, #28 
• Other Worlds (New Avengers, vol 3, #13.INH-17)
• Avengers, vol 5, #29
• Avengers, vol 5, #34
• Perfect World (New Avengers, vol 3, #18-23)
• Time Runs Out Vol 1 (Avengers, vol 5, #35-37; New Avengers, vol 3, #24-25) [not in NA #24, Av #36]
• Time Runs Out Vol 2 (Avengers, vol 5, #38-39; New Avengers, vol 3, #26-28)
• Time Runs Out Vol 3 (Avengers, vol 5, #40-42; New Avengers, vol 3, #29-30)
• Time Runs Out Vol 4 (Avengers, vol 5, #43-44; New Avengers, vol 3, #31-33)
• Secret Wars #1-9

Coates Run

• A Nation Under Our Feet (Black Panther, vol 6, #1-12)
• Avengers of the New World (Black Panther, vol 6, #13-18, #166-171)