Facebook wrongly removed a page about The Specials in what band members think was a mistaken link to racism.
Band legend Neville Staple and wife and manager Christine were among hundreds of people affected as pages linked with skinheads were removed.
The couple believe algorithms linked the 1970s 2 Tone movement with racism, which they said was "the complete opposite of what we were about".
Facebook said the accounts were "removed in error" and were reinstated.
Mr and Mrs Staple realised their accounts had been removed on Monday evening and said they were "astounded" when it emerged it was because they had been wrongly identified as racist.
"We're the 2 Tone era, we came about when racial tensions were nuts - a bit like what we're going though now," Mrs Staple said.
"We were all about bringing black and white together."
The couple said they believed Facebook was "generalising anyone associated with skinhead" - often linked with far-right ideology - and should apologise.
"They've clearly not looked into 2 Tone," Mrs Staple said.
"It was all about change - we've got skinheads, rudies... a whole range of fans out there."
"It's incredibly hurtful to be labelled racist," said one fan who had her account suspended.
The woman, who asked to remain anonymous, said her Facebook page was restored on Tuesday evening, but she accused the company of "blanket ignorance".
"It's all just assumption - I've not shared anything offensive, or derogatory and I openly condemn those who do share hateful messages."
Carrie Frost, a self-described skinhead since the age of 14, also had her profile removed.
The last thing she posted about was Snoopy, the cartoon dog from the Peanuts comic strip.
The 54-year-old from Coalville in Leicestershire said she was "really upset".
"I felt absolutely awful... you do feel you are being tarred with that [racism] brush," she said.
In a statement, a spokesperson for Facebook said the company was "reviewing what happened in this case and taking steps to ensure it doesn't happen again".