This anime was the 2nd anime I watched in my life. Coming back to it in the future, I noticed the brilliance in this iconic anime. 
For it's time, there were stuff like this anime, but only Death Note could pull it off of the Mystery..

Light, the young mastermind of the city, finding a mysterious Death book in a school courtyard, quite literally can lead to bad things...
I enjoy the fact that it starts off as a somewhat trying to be a superhero-to-the-city trope, then it leads to a killer on the loose with mysterious deaths..

Although, what I dislike is that the main Antag/Protag? Lawliet, dies, due to Light - pretty much wanting to steal the show, and his antics...although, the artstyle and the way the anime moves from mystery to mystery is quite interesting...(even though there are times where it was quite obvious that it was Light's doing for all the deaths...)

So all in all, it's about a 7-7.5 to me, It has great intentions, but needed some more in-depth work done..

Alright, let's get this review done.
8 out of 10 stars for me.

Let's get more in depth.

In the beginning, the show is brilliant. A normal yet brilliant student named Yagami Light finds a "notebook of death" to kill people with. Simple, right?
However... He doesn't use it for evil (depending on your views). He does it for the betterment of the world. He starts using the notebook to kill criminals left and right, all across the globe, seemingly by supernatural means. Soon enough, cults and follows start appearing, worshiping the "deity" now known as Kira.

After some time, an opposing force appears. The NYPD and the world renowned detective only known as "L". Soon, the suspects are dulled down to a student in the Kanto region of Toyko.
Soon, after some events that I'm too lazy to explain, L begins to suspect Yagami Light. So, in simple terms, he finds Light, tells him he's L, and lets him into the Kira Task Force, a task force created to track down Kira.

During the first half of the series, the intense psychological game of cat-and-mouse only intensifies, with L constantly suspecting Light - No, knowing Light is Kira, yet never being able to prove it, and with Light trying to figure out L's identity. Both of them had to find out each other's identity without slipping up. In the words of Ryuk...

Anyways, L dies and then the series kind of drops off.

There's my weak review.