http://www.computerarts.co.uk/ -
Computer Arts (UK based, but I think you can get it overseas too), graphic design, but leans more towards graphic arts, tutorials and aesthetics than "functional graphic design. Has a sister magazine,
Computer Arts Project, which has a different theme each month. Some of the latest has been illustration, typography, character design, street art, black&white, next up is graphics and fashion (looking forward to that, yees! Very nice website too, with forum, gallery, downloads and lots of great tutorials.
http://www.grafikmagazine.co.uk/ -
Grafik, graphic design too, website is under construction as of now. I don't have as much experience with this one, but seems like it's more "old-school" (not as a bad thing) graphic design, where design is in focus with just as much enthusiasm as the aesthetics.
http://www.idonline.com/ -
I.D, with the subheadline of "graphic design, production design, architecture. I haven't read much in this myself, very welldesigned website.
And just for you, UpandUp, since you are living across the pond:
http://www.printmag.com/ -
PRINT magazine, with the subheadline "America's Graphic Design Magazine". I don't know anything about this, but according to their website:
PRINT is a bimonthly magazine about visual culture and design. Covering a field as broad as communication itself, PRINT documents and critiques commercial, social, and environmental design from every angle: the good (how New York’s public-school libraries are being reinvented through bold graphics), the bad (how Tylenol flubbed its disastrous ad campaign for suspicious hipsters), and the ugly (how Russia relies on Soviet symbolism to promote sausage and real estate).