Superman Made a Sex Tape, but NOT with Lois Lane

Has Superman has borrowed a page from the Tommy Lee playbook and made himself a celebrity sex tape?

Close.  In Action Comics #593, New God Big Barda is kidnapped and forced to make a porno movies on Apokolips - with Superman - in a dastardly plot to get back at Barda's husband Mister Miracle.

To make things even better, the supervillian who orchestrated this genious plan was called Sleeze. 

Superman has been able to escape all sorts of predicaments over the years, especially ones from Apokolips.  However, he doesn't seem to be trying that hard to try and escape being in bed with Big Barda in her bra and panties now, does he?