Based on the game by Atelier Kaguya.

Can you recommend me some short anime that are amazing?

It is quite subjective to call something amazing(Whether you like mystery , thriller or slice of life anime - opinion differs).
However, I have few recommendations if you are into mystery,action and thriller theme animes(Most of them are darker/serious type). Death Note - Mystery, Police, Psychological, Supernatural, Thriller.
37 episodes. Death Note unlike any mystery thriller show you will ever come across.
It is the very first recommendation from most of the anime fans.
Spellbinding storyline, exceptional direction and the thrill is just unreal.
The intellectual battle between the two main characters is enthralling.
The artwork is truly dark and eerie.
This anime tries to tackle some philosophical questions in a complex way and the complexity makes the anime shine.The sound track complements the atmosphere beautifully.
The anticipation in unreal ,and I watched the whole anime in 2 days.
Some people are unhappy with the ending , there is a movie with alternate ending though.
This is a masterpiece which is a must watch, even if it is just to say you didn't like it. Steins;Gate - Sci-Fi, Thriller .
24 Episodes Steins;Gate is revered as a masterpiece by most anime fans.
It has a very well executed storyline and offers a great value for a re-watch .Steins;Gate explores the world of time travel and time lines,it acknowledges theories such as the 'butterfly effect'.
The plot is full of surprises and sudden unexpected turns.
'Feels' meter is really high on this one(keep a tissue with you).
The characters are developed incredibly well.
To the point that you feel connected with them in terms of their feelings and goals.
The characters are likable and voice acting is superb.
OST was not really outstanding.
However, I did enjoy the opening and the ending.
The soundtrack did it's job of conveying the mood/atmosphere of scenes pretty well.
The animation in itself was done really well though.
The ending was fantastic.
There were barely any loose threads, and as a poor ending can sometimes ruin a good series.
Go and actually experience this masterpiece for yourself.
El Psy Congroo. Code Geass - Action, Mecha, Military, School, Sci-Fi, Super Power.
25 Episodes.
2 seasons. This anime has amazing mecha(big robot) action.
A bit of super power stuff and tactical style warfare.
Anime is very action packed with few light scenes.
It also tackles a great philosophical question - "Whether a means to an end is more important than the end itself? ".
I loved the music very much and the characters are quite interesting.
It will also make you think about the relation between power and corruption.
Storyline is not perfect , but the ending is beautiful. Attack on Titan (Shinegi no Kyojin) - Action, Drama, Fantasy, Shounen, Super Power.
25 episodes. A brilliantly made anime with super direction and outstanding animation.
The story is action packed with survival of humanity on the line.
The anime tackles themes such as bravery, loss, pain , suffering and revenge.
The music and score are amazing with excellent voice acting.
The story has not ended yet and there will atleast be one more season before the story ends. Higurashi no Naku Koro ni - Horror, Mystery, Psychological, Supernatural, Thriller.
26 episodes. Do not be fooled by it's cute looking cover.
At first glance, it looks like a simple, generic harem series or a lame, cliched romance.
This anime, however, is nothing short of genius.
The whole setting, atmosphere, and mood are incredibly well executed.
The plot may seem simple at first, a new kid moving to a strange, new town and meeting new friends.
Beneath the exterior appearance of this seemingly tame series, however, lies a dark story of murder, violence, and mystery. One Punch Man.
Action, Comedy, Parody, Sci-Fi, Seinen, Super Power, Supernatural.
Episodes: 12 Epic! Only one word used to describe this anime from countless fans all over the world.
Saitama the most unique superhero I have come across.
This anime has over the top action /fight scenes with frequent comedy scenes in between.
You are surely going to get you blood pumping after watching the fight scenes!Enjoyment provided by this anime is among the best in industry. If you like action-comedy (with frequent serious arcs), adventure and superpower anime, and elements like graphics and sound are an important factor for you then you MUST WATCH this anime! Even if you don't like all that, you can give it a try.
I assure you that One Punch Man is NOT some random cliche anime which has random power boosts which makes it impossible to watch.
It is quite entertaining in it's own way. Psycho-Pass - Action, Police, Psychological, Sci-Fi.
22 episodes.
2 seasons Are humans innately good or evil? They do things for self interest or personal gain? Forging relationships, creating bonds; are they simply methods to reach the end goal ? Psycho Pass portrays and addresses this issue through excellent storytelling, proficient pacing, and a cast of realistic characters.
Psycho Pass keeps its audience consistently alert and interested, with plot twists and shifts that are unpredictable and wholeheartedly intriguing.
The art is bold and catches the eye's attention.
The music is catchy and will stick with you even after the conclusion of the show.
There may be plot holes in the story but the story is intriguing to the very end. One Outs - Psychological, Seinen, Sports.
25 Episodes. What happens when a person who in an ace pitcher is also an expert gambler? With his pitching skills and people reading skills he can evenmake a pro-baseball player bet his career ! Welcome to psychological side of asport and get ready to be blown away by the shrewdness and tactics of out our terrifying pitcher Toukuchi Toua. I was very skeptical when I started to watch this anime , as I didn’t think that good story can be created around sports.
a psychological one! Boy ..
am glad I was wrong! I rank this anime among the very best I have ever seen! Simply brilliant.
I didn’t even know much about baseball, just googled and learned the basics of pitching.
Despite not knowing much about baseball this anime kept my interest to the very end.
That is a terrific achievement in itself! The mind-games in this anime is at the level of Death Note.The comparison itself is enough to show the greatness of this anime. Fate/Zero - Action, Fantasy, Supernatural.
13 Episodes. The cast in Fate/Zero though mostly consists of older men and has a very mature theme with NO fan service.
Story is beautifully executed with moments that will leave you in complete awe.
Animation is superb and the show has very solid direction, phenomenal OST(composed by Yuiji Kaijura), and excellent writing as expected of the now famed Urobuchi Gen.
Perhaps most of all though is that Fate/Zero manages to capture the essence of its source material supremely well.
Even little details are taken well care of.
The characters discuss their philosophies, hopes and goals in a unique style.It is something that can be both thrilling, and intellectually satisfying at the same time.
Fate/Zero is a quality piece of entertainment and it certainly will leave a strong impression. ** This is a prequel to Fate/Stay Night Gosick - Drama, Historical, Mystery, Romance.
24 Episodes. Every episode builds to the next - a piece to the larger puzzle.
Re-watchable, beautiful ending.
Engrossing storyline.
Music and score is excellent. Mushishi - Fantasy, Historical, Mystery, Seinen, Slice of Life, Supernatural.
26 Episodes. Draws you into the story, every story stands on it's own.
Intense atmosphere at times.
Plot development is excellent.
A bit on the gloomy side.
Soundtrack complements the anime beautifully. Another - Horror/Supernatural and Gore.
12 episodes. Very intriguing storyline.
A bit of gore and jumpy moments.
Animation is fantastic.
Pretty good for some scare , could have been even better in terms of depth of story. Ergo Proxy - Mystery, Psychological, Sci-Fi.
23 episodes. Psychological mind boggling experience.
Will keep you guessing until the very end.
Intriguing story set in a post apocalyptic world where everyone is being kept in the dark and left wondering whats just beyond their grasp.
Ergo Proxy makes use of a lot of different aspects of psychology and history and ties them together beautifully.
Character development is good and animation has it's own style. Hyouka - Mystery, School, Slice of Life.
22 Episodes. A bit on the lighter side.
Mystery anime set in high school.
Slice of life element , but it has surprisingly excellent storylines and deduction based themes like Sherlock Holmes.
Animation is fantastic with wonderful music and score. Worthy mentions - Shiki , Kara no Kyoukai, Mirai Nikki (TV), Madoka Magica, Gankutsuou, Tengen Toppa Guren Lagan, Cowboy Bebop and Darker than Black.