Black Sheep Hit: "Androgyny". It posted desultory chart positions in UK and USA, but performed well in Canada, Australia, New Zealand and across South America and Europe. In Australia, it launched the parent album to their first #1 debut there. Good luck getting the band to play it. Admit to liking it online starts flame wars.
"Cherry Lips" is a subversion - the album version is notable for Shirley's uncharacteristically high-pitched vocals and a Mind Screw of a video. Despite this, it was massive in Australia and Italy, and the song has been played at almost every concert since its release - albeit in Shirley's normal singing voice.
Colbert Bump: While certainly not an unknown band, their appearance in the Metal Gear Solid V trailer won over quite a few fans of the game.
Dye Hard: Shirley's cropped blonde look during the beautifulgarbage era. Steve also fell into this category before he went bald (compare his appearance in "Queer" and "Only Happy When It Rains" before his first video bald in "Push It").
Keep Circulating the Tapes: The B-sides (one was even a single in the UK). The band even wanted to compilate them in an album, but the sales of their former labels (Almo Sounds and Mushroom Records) prevented this.
Screwed by the Network: Once they were directly under a major, Universal Music (first through Interscope, then Geffen), the label expected too much of the band commercially and even wanted some market-friendly actions such as guest rappers. Following their UK label forcing the Greatest Hits Album and then releasing it with Invisible Advertising - plus UMG refusing to release Shirley's solo album - the band became independent.
Troubled Production: The band nearly broke up making Bleed Like Me, even taking a four-month hiatus after the first attempts.