Vic Mackey and the Strike Team is happy to select in the category of Talk Show, Late Night with David Letterman!
http://www.imdb.com/title/tt0083441/
Let me be clear, this is the NBC show that ran from 1982-1993, not the current CBS show. I much prefer wacky and whimsical Dave to crabby and political Dave!
Letterman's original show was able to follow The Tonight Show and do so successfully, so much so that Letterman made a strong push to take over the Tonight Show upon Carson's retirement. When NBC went with Leno, Dave moved his crew to CBS and The Late Show.
Wacky sound effects, the invention of the top 10 list, Larry 'Bud' Melman, Chris Elliot...so much great stuff came out of that original show!
The greatest thing about Letterman's early shows was his penchant for breaking young comics and bands on the show. Some of the greatest young comics really made their mark on his show and he debuted some great bands as well, including REM. I always enjoyed the musical guests the most I think.
REM's Television debut (second song of the night, South Central Rain)
An Early Howard Stern appearance
First show monologue