Oceanic Pole of Inaccessibility
I just randomly came across the Wikipedia article for Poles of inaccessibility, marking "a location that is the most challenging to reach owing to its remoteness from geographical features which could provide access." Included in its list of poles was a map of the Oceanic pole of inaccessibility, showing the area on earth farthest from any land.
I then checked out the region on Google Earth with the Wikipedia option turned on expecting to just see empty ocean floor but was surprised by a few scant entries, hundreds of miles away from anything else. They were as follows:
The name given to an ultra-low frequency and extremely powerful underwater sound detected by the U.S. National Oceanic and Atmospheric Administration. The source of the Bloop is unknown but cryptozoologists have suggested it originates from a massive unknown sea creature. Others have ruled this out since it is several times louder than the loudest known biological sound (from the Blue Whale). [Map]
A sunken city located deep under the Pacific Ocean where the godlike alien being Cthulhu is buried. [Map]
The Mysterious Island
Captain Nemo's hideout and home harbor of his ship the Nautilus. [Map]
A phantom island reported by the Italian Captain Pinocchio of the vessel Barone Podestà in 1879. The island was charted falsely until 1935 when it was removed from charts. The island has not been found since. [Map]
Funnily enough, Easter Island looks to be the closest civilized land to any of these places.