QI, which is a very smart combination trivia and comedy show, with Stephen Fry as the moderator for years and this year Sandi Toksvig. QI stands for Quite Interesting, which the information is.
Also, Graham Norton Show, a UK chat show, where the guests actually have a conversation with each other. Especially hilarious when UK guests, who know how to have a conversation, meet up with A-list American star guests, some of whom haven't been outside the center of attention in years. Others are really able to go with it, which can also be very entertaining.
Both are on YouTube, with years of backshows, new shows on Friday nights.