first thought, a complete no-brainer: Interview. I love it for this mix of commercial and artistic they provide with every single issue, and they almost always have some interesting editorials, and I love their covers. the only problem I have with it is it appears here so irregularly that couple of times a year I almost get a heart attack thinking that maybe my local bookstore stopped delivering it (and I don't want to subscribe it, it's too big so getting each issue crumped and folded would just piss me off) and I ask about it so often that all the staff knows me there already, haha.
I'm having problems with naming the rest, I buy 12 different magazines regularly (each issue, no matter what the content is) and I like each of them for something different so I guess it would be hard for me to choose just 3. from time to time I'm also extremely bored by each of them as they tend to provide some flat issues once in a while, so I don't know. I'm thinking about dumping Vanity Fair as it's not as interesting anymore so this is actually the one I could live without. the same with W, which bores me a lot lately, the only exceptions being March and September issues. I like GQ for their stories but it's hardly a fashion magazine... I like US VOGUE for nice eds, definitely love LOVE for all those gorgeous pictures they feature in every single issue, so maybe that would be my 2nd choice (but getting a magazine just twice a year is not enough for me). don't really buy any non-English press as I don't know any other languages enough to actually read anything, but I like what I see in VOGUE Paris.