Jim,
I am not familiar with "The Complete Photographer," but I'll look for it. I have a growing collection of old photography magazines and books myself - find them an excellent resource.
I have found "The Mentor" from the 1920's to be useful (not 100% about photography), as well as "Kodakery," which was put out by Kodak itself. Old "Pop Photo" and "Modern Photography" of course, and "The Camera" out of Ohio were all good. There are others as well, including small chapbooks or semi-regular publications such as "Photo-Kinks" (not what you might think, more of a DIY camera gadget book) and such things. "Photographica" out of Great Britain is also excellent - very, very, useful to collectors - but hard to come by especially in the USA.
I like to read everything in them - the letters to the editors are great - you can find (for example) people ranting about the 'death of glass plate photography' and 'the death of medium format' and yelping about how 'miniature' formats (35mm) were going to kill photography as a useful tool for the artist, and so on. TLR versus SLR wars. Many of them sound very much like what you read online now - only applied to the d-word as opposed to format of camera or size of film.
I also like to read the ads - they give a good historical perspective on what accessories were available, third-party add-ons, and lenses, etc.
I find that I prefer the magazines from the very earliest days of consumer photography, then jump to the WWII and post-war years to about 1962, and some (not much) in the 1970's. I really don't find anything useful in the magazines from about 1977 on - but it could be that it is because I'm a product of that generation - got into photography as a teenager about that time.
I've used some of the older books on photography as guides to learning portraiture in a 'different' way, as most of the advice is still valid - one just has to translate into modern terms for the type of lights, temperature values, and so on. I have noticed that there are several professional photographers out there who are attempting to recreate that "Hollywood" or "Glamour-era" style photography, B&W or creamy pastel colors with dramatic shadows, angles that emphasize stronger facial features, and so on. I really like it - I think I prefer it to the more modern 'fill every pore on the subject's face with even light and make sure you get a catchlight in the eyes' method. Or maybe I just like it because it is not as often used these days.
I also like the older books on photographic chemistry - there is a lot in there that can still be used today. Currently, I pretty much use off-the-shelf developers, but I'd like to get into some DIY B&W processing, and there are a lot of resources there.