Yuuki Yuuna is a Hero

They both have similar concept of story. Modaka being Magical Girl, while Yuuki Yuuna being Hero. They both fighting some kind of enemies, Witches (Madoka) and Vertex (Yuuki Yuuna) in another dimension to save the world. Yuuki Yuuna's music is also similar or same idea as Madoka. Very Highly possible that Yuuki Yuuna influenced by Madoka. 

In my opinion, both are very similar, Madoka is a magical girl and Yuuna is a hero, Witches and Vertex are very similar too, and many characters of Yuuki Yuuna are very similar to the Madoka magica characters.

similar themes in the deconstruction of the "Magical School Girl" genre. Madoka may have been the most jarring in its twists and storytelling but Yuuki Yuuna's a little slower paced and lacks some of the shocking twist factor. Madoka is still better by far, but Yuuki Yuna is a decent enough succesor for those who are interested more of the same.

Both anime follow a group of schoolgirls and their club activities while facing a deadly threat. Also, there is despair and suffering :d

Both shows involve schoolgirls who are very good friends suffering from hardships and are going through some psycological shit (excuse my french).

Both shows that mix happy-go-lucky adorable high school girls enjoying their school club time and friendships, with horrible things happening to them and the world that they have to deal with. While the shows are different the feel that that gives them is similar. Both shows are fantastic and if you loved one I'd definitely reccomend checking out the other.

From the animation style to the cell phones used to transform, Magical Girl Raising Project reminds me quite a bit of the anime Yuuki Yuuna Is a Hero.

Both of these magical girl anime are fairly moe in animation, with adorable girl with giant eyes and shining hair and round, smiling faces. Except that the adorable-ness belies that both anime take the magical girl genre and put it on it's head. Whether it pitting the girls against each other or making power usage dangerous, both anime definitely put the girls in danger just by making them magical girls. If you like one, check out the other.