The show was one of the few animes I actually watched, and it was surprisingly good. My biggest gripe against it (other than Miss Misa having one of those really high pitched screechy voices that makes me tend to avoid anime in general) was that every. Single. Female character was basically subservient to a male character in some way and incapable of acting on their own accord. Some effectively become disposable puppets by a manipulative sociopath asshole at the drop of a hat and don't question the fact that they're murdering on his behalf while giving up or jeopardizing promising careers, one was apparently one of the FBI's best investigators who got involved with the murder cases to find out who murdered her husband knowing that the killer needs her picture and real ID to kill somebody and then proceeds to give that right to the guy who keeps asking her really suspicious questions and asking her to reveal her real name which gets her killed, and a few other notable examples. The only moments of brilliance in the show are demonstrated by male characters (And I'm not just talking about Kira and L/ Near). Hell, Rem's entire purpose was basically do everything to make Misa happy, which allowed her to basically become Kira's puppet and her ultimate sacrifice basically tied into that.
Other than that, I enjoyed the show a lot and it did keep me guessing quite a bit. Other than those two gripes, I thought it was great.