I see the Minnie the Moocher video from before he was in the Black Adder series. It's a set of series of PG Wodehouse' "Jeeves and Wooster" stories. Laurie played "Bertie Wooster", the hapless aristroctrat constantly chased by debutantes, with Jeeves, the brilliant butler getting the silly monied master out of trouble. It's brilliantly funny! House is altogether out of character of everything I've ever seen him do.
by the way, the Minnie the Moocher is my favorite, but there were musical numbers that were just as silly in most of the shows.