Wikipedia
A fan magazine is a commercially written and published magazine intended for the amusement of fans of the popular culture subject matter which it covers. It is distinguished from a scholarly or literary magazine on the one hand, by the target audience of its contents, and from a fanzine on the other, by the commercial and for-profit nature of its production and distribution. Scholarly works on popular culture and fandoms do not always make this terminological distinction clear. In some relevant works, fanzines are called "fan magazines", possibly because the term "fanzine" is seen as slang.
American examples include Photoplay, Motion Picture Magazine, Modern Screen, Sports Illustrated and Cinefantastique.
Usage examples of "fan magazine".
The weekly fan magazine APA-L printed, as back covers, a string of cartoons showing huge structures of peculiar shape, usually with a sun hovering somewhere near the center.
It was the only time I submitted a story to a fan magazine, incidentally.
And apparently it was written way back when, for some defunct fan magazine or other.
Say their IQ is that of a twelve-year-old child and I'll quote you in every fan magazine in the country.
And then shots of her coming out of Bertie's funeral, wearing some great black hat with a veil, and shrieking at the fan magazine guys to leave her alone as they swarmed around her.
And finally her greatest treasure: a fan magazine with Elvis Presley on the cover.
They edited a small fan magazine from their shared apartment in Edgewater, New Jersey, and somehow I'd become one of their subscribers after reading an ad in the back of one of the pulps.