LONDON — Kevin Spacey, the Oscar-winning actor, has denied new allegations of inappropriate behavior from men who will feature in a documentary on British television that is due to be released next week.

In an online interview with journalist Dan Wootton, Spacey said he has never done anything illegal and admitted that he has struggled to get back to work after being acquitted last year of criminal charges in a London court.

“I can’t go through this again, allowing myself to be…