BAFTA is the British Academy of Film and Television Arts. The fellow presenting it here is Peter Farelly of the Farelly Brothers who made such films as Dumb and Dumber.
(By the way, you may recall a video I posted a few months ago of Julia Louis-Dreyfus accepting an award with her hilarious speech. That was this same BAFTA Charlie Chaplin Award, given in 2014. If you missed it, I wrote about it here.)