Kane of Old Mars by Michael Moorcock
While Moorcock's Hawkmoon books, especially the first series, reminded me of ERB's writing. They were not up to the Burroughs standard, nor does the Hawkmoon prose compare well with much of Moorcock's other work; they were written in haste and it shows. Nevertheless, while the quality of the writing is merely passable, Hawkmoon adventures through an interesting and varied world and that makes it worth the read. Hawkmoon shows the constant inventiveness and the peril-escape-peril cycle of classic adventure fiction that recalled to me John Carter of Mars.
(Note: I've worked to write to ERB-on-a-bad-day level myself and basically I find that you just follow Raymond Chandler's advice, only instead of a guy with a gun, you throw in something completely new.)
The tales of Michael Kane, however, are not only in a much closer style to Burroughs, they have several parallels to ERB's John Carter of Mars books, especially the first three in that series. Not only does the hero go to Mars (called Vashu by the natives), the tale is presented as factual and transmitted from the hero through an intermediary (E. P. Bradbury). Traces of superscience coexist with a sword-centric martial lifestyle. The giants on Moorcock's Mars are blue and only have two arms, but while details are different, Moorcock does a credible job of recapturing the feel of ERB's Barsoom.
Some nice genre touches include the chivalrous hero failing to grasp that he's confronting the evil mastermind, while the reader is recognizing a cliched hot, evil babe. While the body count mounts throughout the series, Kane does attempt to find non-violent solutions and sometimes succeeds.
In the final book, Moorcock's own regular tropes start showing through a little. The "Quicksands of Golana" shift forms and release strange cries, resembling a Moorcockian realm of Chaos. The madness of the people of Cend-Amrid is explained as an imbalance between the Beast and the Machine in man, easily (if possibly too glibly) identified with Chaos and Law.