Classic comic performers whom I know and love only through their recordings:
Tom Lehrer, Allan Sherman, Flanders & Swann, the brothers Smothers and Marx, Jack Benny, Bergen & McCarthy, Don Ameche & Francis Langford (as the Bickersons), Burns & Allen, Abbot & Costello.
Just plain old funny without being "edgy" has kind of gone the way of the dodo nowadays, but Bill Irwin and Bill Cosby are both masters of the fine art of generating laughter. In an entirely different vein, the little that I've seen of Eddie Izzard has had me in stitches, and I love George Carlin's linguistic observations (his political ranting much less so).
Oh! Almost forgot the most brilliantly funny TV characters of the 90s, IMHO... the Animaniacs!