The second Death Note was better than the first. It tied up many a loose end. There were a few discrepancies and as a watcher of the anime, I feel that it kept true to it as reasonable for a live action movie and room for interpretation.
The movie is fabolously great! The action sequences keep you moving and the actors keep you involved! Joker is one scary MoFo and the kind of villain Batman should spend his time defeating. Do not take young kids - there are enough scenes which would give your kids will have nightmare.