It's a fact that there aren't many worthwhile magazines on the market that are devoted to providing a "broad brush" overview of hobby games (board games, card games, miniature wargames, and RPGs). Being a longtime hobby gamer myself, this really saddens me.
One of my old printed favorites, Knucklebones, ceased being published well over a year ago, although there are faint rumors of it coming back into print in a small, digest format. Several excellent mags geared towards miniature wargaming lovers have died as well (rest in printed peace Wargames Journal, Harbinger, and HMG Magazine).
There are still some very good printed magazines out there for miniature wargamers, including Battlegames, Dadi & Piombo, Miniature Wargames, Wargames Illustrated, and the venerable GW house rag - White Dwarf. Of the lot, Battlegames is my clear-cut favorite and a highly recommended read for any serious miniature wargaming enthusiast.
Unfortunately, things aren't so robust on the board-gaming side of the fence. But one new entry on the gaming e-zine scene is thru-the-portal, a new quarterly games magazine from Neil Meyer in the UK. Neil and some guest writers promise to do their best covering board games, card games, RPGs, miniature wargames, MMO's and the occasional computer game. You can download the e-zine for free from http://www.thru-the-portal.com. Issue #1 shows promise. It includes reviews of Pandemic, Small World, Bombay, Through the Desert, Dragon Age rpg, and an interview with the cover artist amongst other things. Check it out!