Among those, there's the weird rumour that he hired someone to feed him lines through an ear piece.
Things had gone a little sour between Depp and his former business managers, Joel and Robert Mandel of The Management Group, when he sued the company for negligence and fraud. That was when the Mandel brothers returned the favour with their very own countersuit, alleging that he had a sound engineer who was 'kept on yearly retainer so that he no longer had to memorise lines'.
Now, in an interview with Rolling Stone, the actor has addressed the bizarre but fascinating claims from last year. By the sounds of it, he's not that arsed.
"I've got bagpipes, a baby crying and bombs going off," Depp explained to the magazine.
"It creates a truth. Some of my biggest heroes were in silent film... It had to be behind the eyes. And my feeling is, that if there's no truth behind the eyes, doesn't matter what the fucking words are."
I mean, fair play. I think.
But that wasn't the only topic Depp opened up about in the interview. Oh, no - there's lots more, mostly surrounding rumours that he is quite the big spender.
While admitting the whole ear piece thing was true, Depp seemed eager to clear up a few inaccuracies in the Mandels' claims, including those that said he spent $30,000 (£22,600) a month on wine.
"It's insulting to say that I spent $30,000 on wine," Depp said. "Because it was far more."
The Mandels also claimed that he spent $3 million (£2.2m) to shoot the ashes of Hunter S. Thompson (the author of Fear and Loathing in Las Vegas, who Depp portrayed in the book's movie adaptation) into the sky from a cannon.
Credit: Universal Pictures
"By the way, it was not $3 million to shoot Hunter into the fucking sky," he explained.
"It was $5 million."
That's around £3.8m. Not a small amount, then.
Controversially, Depp also said that the US Army would have caught Osama Bin Laden much more quickly had they dropped LSD over Pakistan.
"You get a bunch of fucking planes, big fucking planes that spray shit, and you drop LSD 25," he said.
"You saturate the fucking place. Every single thing will walk out of their cave smiling, happy."
Oh, he also admitted that he once gave his bank robber roommate crabs, which he'd got from a cheap Venice Beach motel.
Man, you couldn't make this shit up.
Featured Image Credit: PA