After my initiation to bushcraft with the Ray Mears books, I read Mors Kochanski's "Bushcraft" last year and found it much more detailed and down to earth. Admittedly it is geared up to the Canadian forests, but there seems to me to be much more detailed basic description of techniques than in the RM books.
I would also recommend reading the free online version of the Richard Graves book. This reads much like a military training manual (which I think it was originally, as I'm pretty sure that Richard Graves was a military survival instructor during or after WWII).
Apart from those, you could look at various other subjects under the bushcraft umbrella (foraging, plant ID, mushroom ID, tracking, flint knapping, etc., etc.).
"An old forager is a good forager, that is why he is an old forager."