Kyuuketsuhime Miyu (TV)

Not only are the basic plot elements of these two series similar (in that they both feature a young girl with supernatural powers obeying an all-ruling call of fate), as VMP and JG also both convey a feeling of impending darkness that touches virtually everyone involved. Episodic in nature for the most part, VMP and JG focus heavily on the darkest aspects of the human psyche while exploring limitless situations. I highly recommend VMP to JG fans and vice versa. 

it has the same old drawing stile and there bolth about fable animals 

The second season of Jigoku Shoujo retains the same dark and moody elements of the original JG even as it explores the interaction between Ai and those who seek her services. This forging of bonds between doomed supernatural females and humans is also very present in the latter episodes of Vampire Princess Miyu. Jigoku Shoujo Futamori reveals a deeper kinship between Ai and Miyu, firmly establishing them as kindred spirits.  

Vampire Princess Miyu TV focuses, like Mushishi, on episodic stories that explore how darkness can enter any human being's story, and how we can either triumph or succumb to our circumstances. Both Miyu and Ginko serve as either a savior for those normally doomed, or an arbiter that knows the truth of when it is too late for rescue. 

A girl is chosen to fight demons in order to protect humans. Also, both have a character that wants to take the job of the main girl, which is on only something they can do. 

a girl and her companions fight monsters (technically her own kind). both vampires. Saya~Miyu Haji~Lava Chiropteran~Shinma Diva~Chisato  

Both Vampire Princess Miyu and Shikabane Hime have strong, confident, grim supernatural combat heroines. 

Both are vampire shows intended for female viewers where a "good" vampire hunts demons, although in Nightwalker the hero is more on the humans' side whereas Miyu does what she does for her own reasons, without getting too involved with humans. The Miyu art is prettier also, but Nightwalker has some eye-candy and also the high-school girls element. 

Kyoukai no Kanata and Kyuuketsuhime Miyu both have female main characters that kill demons as spirit warriors, male companions that are at least half-demon and interested in the female leads. They are dark fantasies that have the main characters involved in a lot of action and introspection. The personalities of the main characters are very different, but if you like one of these, you should watch the other. 

Main characters fighting Demons/monsters that prey on humans. Some similarities between the main characters. 

Both series run on a mostly 'Villain of the Week' Format, but do take occasional breaks to have episodes focused more on characters. Both series are firmly rooted in the use of spiritual/magical abilities, despite it taking place in the 'grounded and realistic' world of 1990's Japan. Both series showcase the lead female usually sealing away or destroying the enemy of the week using a signature move. Both series have a lead female who is often guarded by a lead male, however, their relationships are a bit on the...complicated side. Both series rely on Slice of Life moments to help build up the friendships between the cast of females, however, Sailor Moon does this with the knowledge that these friends are also sisters-in-arms, while in Kyuuketsuhime Miyu, Miyu never actually fights alongside her friends. Miyu and Sailor Moon both let you get very familiar and comfortable with the characters before, in the final handful of episodes, showcasing the backstory as to why they are fighting their enemy. Lastly, both series are quite progressive for their time, though Sailor Moon went a little farther with it then Miyu. read more 

The atmosphere in both these animes feels somewhat the same, the case by case problem solving also feels very similar together with the dark setting of the whole anime.  

They are both anti-heroines who are trying to, not save Earth, but make sure evil beings don't harm humans. They both were sent to Earth on a mission with fire as their element. Despite having no feelings for humans, they both befriend some and disguise themselves as school girls. There is also a dark motif where humans die, and Shana and Miyu don't feel any sorrow for their death. Also, they have a male compainion who helps them.  

We have two UN-feeling girls who solve supernatural cases though Miyu has powers and is a vampire. The two shows have a dark theme center around it no happy ending just suspenseful and strange, In Gosick their is more of a duo effort in solving cases while in Vampire Princess Miyu she mostly solves her cases on her own with the occasional guide of Larva.  

They share the theme of a supernatural entity(s) being drawn to "strangeness" in the human world and eventually purging the demons responsible. Hundred Stories is MUCH more adult than Miyu, however. 

Both follow the typical story line where vicious creatures roam rampant on Earth where someone has to stop them or else humanity will go extinct. 

Both series are about people slaying ghosts/demons.