Australian Women's Weekly began as a weekly magazine in 1933. In 1982, it converted to a monthly frequency. The title stayed the same, both for reasons of familiarity and because the title Women's Monthly was deemed 'unseemly'.
Auto Trader (the British magazine) has three examples of this: the editions 'Southern' (which now includes Wales and South West England), Midland (now covering Anglia and the Home Counties, extending beyond the Midlands), and North London & East of England (which is really In-Name-Only now, as it's amalgamated its content with the Midland edition). Both editions only survive due to the Grandfather Clause. In any case, the magazine's Periphery Demographic didn't really care... it still remains popular.
Billboard - The major trade publication of the music industry, was originally a trade paper for the billboard advertising industry. At least, that's what it was when it started. But the publication had shifted its focus to the entertainment industry (which, at the time, was a major user of billboard advertising) before the 19th century ended.
CD-Action was so titled as the first Polish video game magazine which came with a cover CD. Since then they've switched to DVD's (and C Ds in general have all but gone out of use in video game industry, making the title especially dated.)
Country Weekly - Debuting as a country music-focused weekly magazine in 1994, it became biweekly in 1999 and was published that way for a decade before reverting back to a weekly publication in February 2009.
Famitsu - A Japanese video game magazine which debuted under the name of Famicom Tsūshin (or the Famicom Journal in English) in 1986 — back when the Famicom (the Japanese version of the NES) was the dominant game console in the market. While the magazine did started off as a Nintendo/Famicom-centric publication, it gradually covered other gaming platforms extensively such as the PC Engine and Mega Drive as they came along, eventually rebranding themselves under the current abbreviated name in 1995. This was shortly after launching their now-defunct sister publication PlayStation Tsūshin (which became Famitsu PS following the rebranding).
GQ - Its name is short for "Gentleman's Quarterly". It's been issued monthly for quite some time.
Indie Game Magazine is, as of December 2015, no longer producing a monthly periodical. The website continues to offer regularly updated content pertaining to indie games, but it really isn't a magazine anymore. It still uses the name, however.
Manga Time Kirara - A Japanese manga anthology that was originally part of the Manga Time family of Gag Seriesyonkoma magazines, with a bit of moe concentration. However, as moe became the cash cow in the 2000s, Kirara obtained editorial independence from the rest of Manga Time family and became a family of five manga anthologies on its own, all of which bearing Manga Time as part of their titlesnote Manga Time Kirara, Manga Time Kirara Max, Manga Time Kirara Caret, Manga Time Kirara Miracle! and Manga Time Kirara Forward. What's more confusing is Manga Time is a family of six manga anthologies on its own, five of them having Manga Time as part of their titlesnote Manga Time, Manga Home, Manga Time Jumbo, Manga Time Special, Manga Time Family and Manga Time Original.
Marxism Today - A now-defunct British publication was originally the theoretical journal of the British Communist Party, and read the way you'd expect. During its last years when Martin Jacques was the editor, however, it devoted itself to a more generally leftist critique of Thatcherism and gained a wider audience. The joke from both sides of the political spectrum was that the only Marxism in it was the title.
Nintendo Power - Initially, the second half of the title referred to the "power" it gave to Nintendo game players to beat the games they were playing, through included tips, strategies, and walkthroughs. Eventually it began to give up including tips and focused more on interviews and news, as anyone could just as easily look up a solution on GameFAQs or watch video playthroughs on YouTube.
Opera Monthly - Thanks to financial problems, the New York magazine from the publishers of TheaterWeek, published every other month during the parent company's final year or so of operation.
Protoculture Addicts - An anime magazine published in the US, the name indicates its origins as a Robotech fanzine.
Radio Times - Although the magazine still offers comprehensive radio listings (near the back of the magazine), chances are that most readers are there for the TV listings, the interviews or the previews of coming shows. There may not be quite as many national radio stations as there are national TV stations, but there are now 10 pages of TV listings for every 2 pages of radio listings.
TV Guide - In late 2009, the magazine made a series of changes in its format, drastically reducing the amount of space given to actual TV listings (cutting all but the grid-format listings first, then dropping several channels from the grids) and focusing more on celebrity-style reporting.