Bangkok has a number of daily newspapers, most of which have an online presence as well. Here are just a few of the larger publications.
Bangkok Post http://www.bangkokpost.net/
The Nation http://www.nationmultimedia.com/index.php
Asian Tribune http://www.asiantribune.com/
Siamturakij http://www.siamturakij.com/
2bangkok.com/ http://2bangkok.com/