Digital games, mostly
The Scientific Gamer - Insightful and (usually cynical) reviews and articles of PC games
Keith Burgen - Excellent thoughts on game design
Rock, Paper, Shotgun - General PC game coverage especially for indie games
Pocket Tactics - iOS/mobile strategy games
Space Game Junkie - Blog / vlog / podcast for all games set in space. +Podcast
Tabletop games, mostly
Board Game Geek - Monster site, forums, game databse, blogs, etc.
Space Biff! - Awesome game reviews and analysis
There Will be Games - BGG's dark twin
iSlayTheDragon - News/Reviews/Smorgasbords
Nick Bentley Games - Designer and blogger
Podcasts / Videocasts
Three Moves Ahead - Excellent podcast focusing on PC strategy gaming, often with special industry guests.
The Long View - In-depth commentary and discussion of boardgames
Plaid Hat Podcast - Often insightful and always hilarious podcast from boardgame publishers Plaid Hat Games.
Drive Thru Reviews - Video reviews and commentary by the legend, Joel Eddy
Ludology - Great table top podcast with reviews and design musings
(Defunct) Exploring Games with Chris - Nice in depth reviews and articles. +Podcast
(Defunct) Strawpixel - Boardgame blog by Stephen Brochu (Ubisoft designer)
(Defunct) Most Dangerous - Design blog
(Defunct) Oakleaf Games - Design blog and reviews
(Defunct) Painted Wooden Cubes - Excellent commentary on games from Mark Taylor