James Thurber drew stuff, all the time. Some of this stuff was published as single-panel cartoons in the New Yorker (indeed, went a long way towards defining the New Yorker style in cartooning). Other stuff served as illustrations to his writing. In at least one case — The Last Flower, which I’ll look at below — the text and illustrations are fused, in the fashion of a graphic novel.
All of this you can appreciate in a single volume, Thurber: Writings & Drawings (1996), from the estimable Library of America (contents selected by Garrison Keillor), which has the complete My Life and Hard Times (1933), The Last Flower (1939), and The 13 Clocks (1950) — for an appreciation of this last book on this blog, see my 7/29/13 posting — and substantial selections from most of the rest of his output, from Is Sex Necessary? (White & Thurber, 1929) to The Years with Ross (1958).