He did play some shirtless scenes in the classic Mutiny on the Bounty (1935), seen here with Movita...
And now some more early publicity shots of Mr. G., many of which point up his handsomeness and studio-influenced style.
You will note in the comments section of this post that a few of my readers pointed out a similarity between Mr. Gable and one George Clooney. Looking into this further, I did a little doctoring of a George Clooney photo and realized that there is indeed a surprising similarity! With a little bit of makeup, I think Mr. C. could do a credible recreation of Mr. G. Look below and see what you think!