I have the Go World DVD and about half of the Go Reviews in hardcopy.
Just a brief comparison, based on my desultory skimming a random selection of maybe 10 to 15 issues of each, and reading an occasional article now and then.
Go World is better edited and more polished, with a focus on Go news and annotated pro games. The amount of instructional material appears to have decreased over time. The game annotations are at quite a high level (usually over my head).
Go Review is a little rougher, especially the early issues, although they ironed out most of the biggest problems with terminolgoy and format pretty quickly. The focus in Go Review is on instructional material rather than news and games. Many Go Review issues have only one annotated game (quite frequently a handicap game or amateur game), a few pages of Go news, and the rest is devoted to Instructional Articles and problems (usually with detailed solutions).
For example, I picked a random issue of Go Review (1962, v. 10), and read all four instructional articles:
"Basic Go Techniques in Non-Handicap Games" (pp.14-27) was about fuseki techniques. Although I already knew some of the principles discussed, the examples were interesting. This article also had a really interesting discussion of one-point jumps into the center during fuseki which contained some very useful ideas I haven't seen anywhere else.
"On Sente and Gote" (pp. 33-40) is about using sente moves rather than gote moves to deal with threats. I found the whole article very interesting and informative.
"Tactics in the Corner" is on josekis (specifically, about attaching to a knight's approach to the 4-4 piont). I found this less interesting (I haven't really studied josekis yet and I'm not ready to start). The comments do go into quite a bit of detail.
"Fundamentals of the Opening Stage" (pp. 71-79) is about fuseki strategy (I would say at the mid-to-low SDK level) and, once again, I found it very instructive with some good examples of how I should be thinking about fuseki strategy (but I'm not quite there yet).
There are also some problems in the magazine, including a section of whole board problems ("Whither next play?) that seemed very good but were too advanced for me to solve (I got all 10 of them wrong), although I could usually grasp some of the detailed answers.
Some of the instructional material in Go Review has been collected and published in book form; however, I am guessing that a high percentage has not. Speaking in general terms, the quality of the instructional material in Go Review seems to be quite high, and appears mainly targeted at the single kyu (and sometimes higher) level.
My overall impression is that there is a ton of instructional material in Go Review, much of it very interesting stuff. However, the material is less organized than a book (e.g., there might be a series of articles over a number of issues on one topic) and the articles are sometimes less polished than you might find in a book.
I look at the new Go Worlds when I get them in the mail for detailed recent Go news and to play over an occasional game, but I am more likely to take a Go Review off the shelf when I have a spare half hour and go through one of the instructional articles. A lot of the material seems targeted right around my level (or a little bit higher which makes it challenging but not impossible to grasp), and I actually find reading a short article on a fairly random topic less intimidating than books like "The Endgame" from the Elementary Go series.
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