List (http://curefans.com/index.php?topic=45.msg765756#msg765756) compiled by @PetShopBoy on 20/01/2018 based on hundreds of answers of curefans.com members:
Joy Division
Siouxsie & The Banshees
Depeche Mode
New Order
Pink Floyd
The Smiths
Bauhaus
Interpol
Radiohead
Cocteau Twins
David Bowie
Echo & The Bunnymen
Sisters Of Mercy
To post your favorite bands besides The Cure go to this topic (http://curefans.com/index.php?topic=45.0).