Based on the Marvel Previews #33, April for June 2015, I'd say you need to pre-order the following books in order to keep up with Spider-Man.
Core Titles
Amazing Spider-Man #19.1, variant cover Justin Ponsor
Amazing Spider-Man #19.1
Amazing Spider-Man: Renew Your Vows #1
Amazing Spider-Man: Renew Your Vows #1, variant cover Action Figure
Amazing Spider-Man: Renew Your Vows #1, variant cover Ant-Sized
Amazing Spider-Man: Renew Your Vows #1, variant cover BLANK
Amazing Spider-Man: Renew Your Vows #1, variant cover J. Scott Campbell
Amazing Spider-Man: Renew Your Vows #1, variant cover MAOS
Amazing Spider-Man: Renew Your Vows #1, variant cover Skottie Young
Amazing Spider-Man: Renew Your Vows #1, variant cover
Amazing Spider-Man: Renew Your Vows #2
Amazing Spider-Man: Renew Your Vows #2, variant cover Ryan Stegman
Marvel Universe Ultimate Spider-Man: Web Warriors #8
Spider-Verse #2
Spider-Verse #2, Variant Cover By Richard Isanove
Guest Apps
Giant-Size Little Marvel: AVX #1
Giant-Size Little Marvel: AVX #1, Action Figure variant by John Tyler Christopher
Giant-Size Little Marvel: AVX #1, Ant-Sized variant cover by TBA
Giant-Size Little Marvel: AVX #1, variant cover by Humberto Ramos
Giant-Size Little Marvel: AVX #1, variant cover by Skottie Young
Secret Wars #3
Secret Wars #3, Action Figure variant by John Tyler Christopher
Secret Wars #3, Connecting variant cover by Simone Bianchi
Secret Wars #3, Dr. Gwendge variant cover by Nick Bradshaw
Secret Wars #3, variant cover by Bob McLeod
Secret Wars #3, variant cover by Esad Ribic
Secret Wars #3, variant cover by Marguerite Sauvage
Secret Wars #4
Secret Wars #4, Action Figure variant by John Tyler Christopher
Secret Wars #4, Agwengers variant cover by Chris Samnee
Secret Wars #4, Connecting variant cover by Simone Bianchi
Secret Wars #4, variant cover by Erica Henderson
Secret Wars #4, variant cover by Esad Ribic
Secret Wars #4, variant cover by Jim Starlin
Secret Wars: Battleworld #2
Secret Wars: Battleworld #2, variant cover by James Stokoe
Ultimate End #2
Ultimate End #2, variant cover Chip Zdarsky
Spin-Offs
Silk #5
Spider-Gwen #5
Reprints
Amazing Spider-Man Vol. 3: Spider-Verse TPB
Iron First Epic Collection: The Fury Of Iron Fist TPB
Spider-Man & The X-Men TPB
Spider-Man 2099 Vol. 2: Spider-Verse TPB
Spider-Man: Big Time - The Complete Collection Vol. 4 TPB
Werewolf By Night Omnibus HC
Werewolf By Night Omnibus HC, variant cover