DANGANRONPA
Danganronpa the animation is an adaptation of a popular visual novel game called "Danganronpa: Trigger Happy Havoc" from Spike Chunsoft. 
After "Trigger Happy Havoc" Spike Chunsoft has released sequels Danganronpa 2 : Goodbye Despair, Danganronpa Another Episode: Ultra Despair Sisters and Danganronpa V3: Killing Harmony.
New to Danganronpa?
If you have no knowledge of Danganronpa, watching the anime without seeing or playing the games, the animation might be too confusing. There are many things left out, since it's an anime adaptation focused on only the main parts of the story. I highly suggest watching or playing the games beforehand to be able to enjoy Danganronpa the animation. I would like to give a warning to sensitive people, Danganronpa has very disturbing elements and it discusses very heavy topics. In the games there will be "fanservice" (especially Danganronpa 2: Goodbye Despair) and when i was new to Danganronpa, i was shocked by the first execution. And the sequels to Danganronpa the animation will have disturbing contents (for example brain washing.)
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The Plot:__
Hope's Peak Highschool is a prestigious school known for their talented students. Every student is "an Ultimate" at what they do. No less will do. The story follows Naegi Makoto, a normal high school student who got in due to a raffle and now carries the title of "The Ultimate Lucky Student".
16 Students that possess an "Ultimate" skill or profession is enrolled and as Naegi Makoto steps through the gates, he loses his consciousness. He later on wakes up in a classroom but notices that all the windows have been covered by steel plates. He finds a note that tells him to go to the gym and there he and other students are welcomed to the school by the headmaster, remote controlled bear Monokuma.
Monokuma informs the students that they will be staying in the school for the rest of their lives, never going outside again, the only exception to this is to graduate by killing another student. Later on it is revealed that after killing a student, there will be a class trial. Class trial is their chance to find out who the killer is, if an innocent one is voted as guilty, all the students will be executed and only the "blackened" aka the killer will be able to live and leave the school. If the killer is voted as guilty, they will be executed.
Knowing their reluctance to kill, Monokuma gives every student a motive to kill by giving each one of them a personalized dvd containing a threat. Makoto's dvd contains a video of his family being kidnapped, suggesting that they will be harmed. This is how the killing game begins.
As the story progresses, the students try to find out the mastermind behind it all.
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Personal Opinion:__
The animation does well in portaying the main plot of the game. Since it's an anime they clearly left out many important details and scenes and due to this, some characters do seem dull when compared to the game. It is also very fast paced and due to this you cannot fully get a clear view of the cruelty of the situation as you do in the games. In the games, when a student is killed, the investigation is a very important part since you get to go into the mindset of the killer, knowing that most of them would have never done it without a reason. You cannot grasp the "Despair and Hope" part that you do in the games, due to the animation being so fast paced and the episodes being so short.
I have seen the games being played by my "Ultimate Danganronpa Fan" little sister and as a fan of the games, i cannot help but to compare the anime to the games. The atmosphere of the anime and the games are so different and it leaves the anime looking very flat.
Maybe if i had seen the anime first, i would have a different opinion.
I'm giving it a 7/10.