There are three national magazines:
Billiards Digest: Fantastic industry and pro event coverage. The new expanded instructional area "Quick Hits" is fantastic and I like that the section includes small articles and input from several sources, such as Mark Wilson, a top instructor from MO, and BD House Pro Tony Robles as well as contributions from George Fels. Bob Jewett, and Nick Varner just to name a few. BD has a tremendous history in the game going back I believe about 3 decades. They recently started a 30 Over 30 section which goes in depth each month a couple of the top 30 moments in recent pool history.
InsidePool Magazine: IP was started with a conscious dedicaton to highlighting regional tours and has developed a niche in that area. They have an area called Cue Makers Corner, which is always enjoyable. IP is a much newer magazine, I think about 8 years or so now. Grady Mathews, Tom Simpson and Bob Henning to name a few are some of the regular contributors in the instructional area.
Pool & Billiards Magazine: P&B is celebrating it's 25th anniversary this year. Executive Editor, Shari Stauch, was one of the founders of the WPBA and as one would expect from that history, has really great coverage of the WPBA and women's pool. However over the years they have expanded and grown steadily. Some of the instructional contributors are: Phil Capelle, Dominic Esposito from the Pro Skill Drills Series, Ewa Laurance and "Mr. 400" John Schmidt. P&B also covers Jr. pool very well.
* Each of the national publications has value and each have their own feel and area of concentration.
Regional Publications: There are many decent local papers, however on a regional level,
Inside English,
Professor Q Ball for the mid-West and Ohio, MO, IN, IL, MI for example. Professor Q Ball also covers 3-C which no one really does to his level in the country. IE is great as it has a great mix of regional and national, Bob Henning and Tom Simpson both contribute to IE. Very respected folks who run both of these publications. There are two regional publications that cover the western part of the US. one of the two has been assertive in it's growth the past couple of years.
The Break is the better of the two and the one I would recommend. They cover CA, OR, WA, AZ, CO, UT, NV, some national news and league information.
I encourage you to subscribge to all three national publications and depending on which part of the country you live in: either IE, Prof. Q Ball or The Break. Or all three

if you can wing it, there is some fabulous information in those regionals and fun stories and you learn alot about the top regional players, shortstops etc...
contact information for all six publications:
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BD: 312-341-1110 /
www.billiardsdigest.com
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IP: 866-961-7665 /
www.insidepoolmag.com
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P&B: 843-875-5115 /
www.poolmag.com
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Inside English: 586-801-4351 / or write
sandy@insideenglish.com
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Professor Q Ball: 901-756-2594 / or write
paul@professorqball.com
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The Break: 406-285-3099 / or write
otbnews@aol.com
Hope this is helpful and all the best!