The BBC do have a habit of seemingly focusing more on right wing faliures than center left wing's ones even when the center lefts faliures are more grevious than the left or right's. Expenses Scandals involving, for example, Dennis McShane? Hardly mention he's Labour. Involves A Tory who claimed 2k for a Duck House, or a traditionalist, Eurosceptic socialist? Keep digging it up, allow people on panel shows to mock it until its a zombie stallion. All comedy is left wing on the BBC and C4 though, despite the fact there's a lot less to laught at about UKIP and the Conservatives than with the GOP or CDU.
I'm not sayin that represents all BBC content though.
The only vaguely right wing stuff on the BBC these days is Top Gear. (and possibly, just possibly, Ian Hislop on Have I Got News For You)
Genuine question, can anybody name an explicitly right wing comedian currently active (I'm not talking a Manning or Davidson). That, more likely than the BBC is the reason for any comedy bias.