The blogs which are listed here are about puzzles, brain teasers, and other things which test or show the ingenuity of the solver.
Regular Blogs
A Clerverly-Titled Logic Puzzle Blog
Kept up by a logismith, this blog contains logic puzzles, entries about such puzzles, and reviews.
http://mathgrant.blogspot.com/
Designed for those who enjoy mechanical puzzles such as puzzle boxes and disassembly puzzles, this blog offers not just the puzzles, but the stories behind them and reviews.
http://mechanical-puzzles.blogspot.com/
Quiz blog puts up a new question every day, points are assigned for correct answers, and a public scoreboard, or leaderboard, is displayed on the front page.
http://brainiedeal.wordpress.com/
A weblog by Ed Pegg Jr., an expert on mathematical puzzles and a self-acclaimed recreational mathematicisn. This weblog contains a vast collection of fun, creative and challenging mathematical puzzles including words, numbers and board puzzles. The weblog also provides solutions to differrent types of mathematical puzzles of different difficulty levels.
http://www.mathpuzzle.com/
Contains a new crossword cartoon every week, free puzzles, and amusing items.
http://trickme.wordpress.com/
Offers a competitive puzzle blog, where visual quiz questions are provided and winners posted.
http://www.quizlexic.blogspot.com/
Professor Richard Wiseman, magician and author as well as psychologist, posts puzzles, magic tricks, and illusions, as well as other items which are simply quirky.
http://richardwiseman.wordpress.com/
The multi-year winner of Soduko Championships and puzzle creator, and author of puzzle books keeps up this blog which offers daily puzzles, including soduko, tetromino, and puzzle ideas.
http://motris.livejournal.com/
The crossword blog of the New York Times offers dialogue about the day's crossword as well as a bonus post for the Second Sunday puzzle. Also offers interviews interviews with the puzzle constructors.
http://wordplay.blogs.nytimes.com/