Based on the Marvel Previews #21, April for June 2014, I'd say you need to pre-order the following books in order to keep up with Spider-Man.
Core Titles
Amazing Spider-Man #1.2
Amazing Spider-Man #1.2, variant cover Arthus Adams
Amazing Spider-Man #1.2, variant sketch cover Alex Ross
Amazing Spider-Man #3
Amazing Spider-Man #3, variant cover Tim Sale
Marvel Universe Ultimate Spider-Man #27
Miles Morales: The Ultimate Spider-Man #2
Miles Morales: The Ultimate Spider-Man #2, variant cover Amy Reeder
Spider-Man Spectacular #1
Superior Foes Of Spider-Man #14
Guest Apps
All-New Ultimates #3
All-New Ultimates #3, variant cover Siya Oum
All-New Ultimates #4
Spin-Offs
Deadpool Vs. Carnage #4
Reprints
Marvel Masterworks: Not Brand Echh Vol. 1 HC
Marvel Masterworks: Not Brand Echh Vol. 1 HC, variant edition
Superior Spider-Man Team-Up Vol.2: Superior Six TPB