Oh lord - I think it's beyond me to do a full list of all Morrissey songs and who co-wrote them - that would take me all afternoon!
A very quick overview though:
Stephen Street: All the early solo stuff: everything on Viva Hate plus Playboys, Interesting Drug, Ouija Board etc.
Andy Rourke:Yes I am Blind, Girl Least Likely To (which is a rip-off of another song but whatever), Get Off the Stage
Clive Langer: November Spawned a Monster, Mute Witness, Found Found Found
Kevein Armstrong: He Knows I'd Love to See Him, Piccaddilly Palare
Mark E Nevin: Most of Kill Uncle + Pregnant For the Last Time, My Love Life (rip-off again though) I Know Its Gonna Happen Someday, You're Gonna Need Someone on YOur Side, etc
Alain Whyte: Most of everything from Your Arsenal on! No Im not listing it all!
Boz Boorer: Jack the Ripper,Now My Heart is Full, The More You Ignore Me, Speedway, Satan Rejected My Soul, The World is Full of Crashing Bores etc etc etc
Gary Day/Alain Whyte: You Know I Couldnt Last, Let the Right One Slip In, Pashernate Love.
Spencer Cobrin: Wide to Receive
Jessie Tobias: Half of Ringleader of the Tormentors.
Michael Farrell: At Last I Am Born