Trekkies and We Know It,
a parody of Sexy And I Know It by LMFAO, made me laugh like hell.
As for recent pop songs....well, I don't follow a lot pop music anymore. "Call Me, Maybe" has been parodied by just about everyone, so it surely would be ripe for a Trekkie spin. "Call Me Janeway" or "He's Dead, Maybe" or something like that.