I think this is the only famous H. G. Wells story that I have not read, so I thought I ought to fix that. I didn't actually know the first thing about the story, except that there's an island, and I had a vague idea that an old Oingo Boingo song ("No Spill Blood") had something to do with it. It's an early short novel--Wells' third--written after The Time Machine. Wells famously called it 'a youthful piece of blasphemy.'
The story is told by Mr. Prendick, an accidental visitor to Dr. Moreau's island, and the the sole survivor. He is something of an upper-class twit, but a traveling one, and he is forced to get off his ship at Dr. Moreau's island. Prendick finds a nightmare society of animals turned into pseudo-men, ruled over by Moreau, a vivisectionist determined to create a human being of his own by means of surgery.
It's all very Victorian and eugenics-y, with lots of meaning to discuss. Wells wasn't kidding about the blasphemy, either. It's quite effectively horrifying and I don't recommend it if you're an animal-lover type person.
I've never seen any of the movies made from this novel, though I love B-movies and have seen several knockoffs of the Dr. Moreau character. He really became an archetype of B-movies and you'll find versions of him in awful films like The Killer Shrews.
Penguin Classics has put an excellent introduction to this novel on their website. It's by Margaret Atwood and seriously, you should read it.