Amazing Spider-Man: Brand New End

Jackpot / The Private Life of Peter Parker
Amazing Spider-Man Presents: Jackpot #1
Amazing Spider-Man Presents: Jackpot #2
Amazing Spider-Man Presents: Jackpot #3
Peter Parker #1
Peter Parker #2
Peter Parker #3
Peter Parker #4
Peter Parker #5
The Many Loves of the Amazing Spider-Man #1
Siege: Spider-Man #1
Amazing Spider-Man Annual #37

Grim Hunt / The Trophy Hunters
Amazing Spider-Man: Grim Hunt - The Kraven Saga #1
Amazing Spider-Man #634
Amazing Spider-Man #635
Amazing Spider-Man #636
Amazing Spider-Man #637
Amazing Spider-Man Presents: Black Cat #1
Amazing Spider-Man Presents: Black Cat #2
Amazing Spider-Man Presents: Black Cat #3
Amazing Spider-Man Presents: Black Cat #4

One Moment in Time / A Patriot Act
Amazing Spider-Man #638
Amazing Spider-Man #639
Amazing Spider-Man #640
Amazing Spider-Man #641
Age of Heroes #2
Amazing Spider-Man Presents: American Son #1
Amazing Spider-Man Presents: American Son #2
Amazing Spider-Man Presents: American Son #3
Amazing Spider-Man Presents: American Son #4

The Extremist / Origin of the Species
Web of Spider-Man #8
Web of Spider-Man #9
Web of Spider-Man #10
Web of Spider-Man #11
Web of Spider-Man #12
Amazing Spider-Man #642
Amazing Spider-Man #643
Amazing Spider-Man #644
Amazing Spider-Man #645
Amazing Spider-Man #646
Amazing Spider-Man #647

NOTE: This last section is frontloaded a bit with extra stories, some of which I didn’t want to mix in with the previous section. The Amazing issues are basically the only required issues to read.