From beginning to end Death Note is a thrilling watch, the design & animation is without fault and the writing puts most of Hollywood to Shame. It combines all the good things a TV show should be and packages it up into 37 episodes of TV Gold.

What is Death Note about (ruthlessly copied from wiki I couldn't explain it any better):

The series centers around a high school student who discovers a supernatural notebook that allows him to kill anyone by writing the victim's name and picturing his or her face. The plot follows his attempt to create and lead a world cleansed of evil using the book, and the complex conflict between himself and those assailing him that results.

Verdict
5 Stars - Must See, even if you have never been a big fan of animé

Links
Wikipedia
Death Note TV