The Miranda star won the gong for 'Best TV Comedy Actress', while Lee took home two awards for 'Best Male TV Comic' and 'Best Comedy Entertainment Programme' for BBC show Stewart Lee's Comedy Vehicle. Meanwhile, Millican was crowned the 'Queen of Comedy' in a public phone vote.
Other victors included veteran comedienne Victoria Wood in the 'Best Female TV Comic' category, while Spy star Darren Boyd picked up the award for 'Best TV Comedy Actor' and 'Best Comedy Entertainment Personality' went to Graham Norton.
Dan Skinner - better known as his Shooting Stars alter ego Angelos Epithemiou - won the 'Best Comedy Breakthrough Artist' award, while the recently-axed show, hosted by Vic Reeves and Bob Mortimer, itself was crowned 'Best Comedy Panel Show'.
'Best Comedy Drama' saw Psychoville beat off competition from the likes of Misfits and Fresh Meat, although the latter series did pick up the 'Best New Comedy Programme' award. 'Best Sketch Show' was awarded to CBBC's Horrible Histories for the second year in a row, while Olympics-themed Twenty Twelve was given the 'Best Sitcom' prize.
The 'British Comedy Academy Outstanding Achievement Award' went to The Inbetweeners, while the long-running satirical panel show Have I Got News For You took the 'Lifetime Achievement Award'. Comedy writer Armando Iannucci was handed the 'Writer's Guild of Great Britain Award', and the 'Channel 4 Award for Special Contribution to Comedy' went to Lee Evans.
> British Comedy Awards: Winners In Full