Naruto Uzumaki is a young ninja who bears a great power hidden inside him, a power that has isolated him from the rest of his village. As such, his only dream is to become the Hokage - the most powerful ninja, and leader of the village; but first he needs to graduate! With his inability to perform even the most basic ninja techniques, it seems that all Naruto has going for him is his determination to succeed no matter what. Teamed up with the genius Sasuke, book-smart Sakura, and their team leader Kakashi, Naruto embarks on his quest to become the Hokage. But with outside forces posing a threat to the entire Hidden Leaf village, Naruto discovers that he must become much stronger if he ever wants to realize his dream and protect the friendships he's forged.
It's a bit of a long shot but these shows hold many similarities, for starters there are many different factions in form of countries or organizations with personal interests. Like in Naruto, Legend of the Legendary Heroes has characters burdened by their past and special powers which reside in their eyes (Sasuke and Ryner). While Legend of the Legendary Heroes isn't about ninjas it has the elements of pride and honor the same as in Naruto.
In an ancient and mythological land called Saiunkoku, the people have begun to recover from a period of war and famine; thus, when an official from the imperial court offers the impoverished and beautiful Shuurei more money than she could ever dream of in return for a favor, she jumps at the chance. What she doesn’t count on, however, is being asked to become a concubine to the recluse Emperor and help him transform into a better leader. What’s more, the Emperor shows little intelligence, seems to have no interest in ruling, and is rumored to prefer men. One thing’s for certain: Shuurei has her work cut out for her!
Okay, so the main reason I'm making this recommendation is the King character in both. While they are completely different genres (although both stories occur in settings which are throwbacks to past ages), with very different cast arrangements, the king characters are extremely similar in design. If you liked that character particularly in either, it might be worth checking out the other.
The god Mauser delivered unto a world of magic a prophecy: if the Scrapped Princess is allowed to live, she will destroy the entire world. But the knight who was to kill her could not end the life of a newborn child, and so she lived. Fifteen years later, her adopted brother and sister have sworn to protect her, and together they travel from town to town, searching for a life she can't have.
Both are set in a medieval fantasy setting with magic and sword fighting being the two main ways of 'fighting' .
They both have a fiesty female character, and they both mix drama with light hearted comedy.
Both adventures involve political intrigue with the 'heroes' getting imbroiled in a sort of cross-fire as they come to terms with their purpose.
They both also stumble across 'hero artifacts' that has some relevance.
Densetus no Yuusha no Densetsu however has a much more 'epic' scale of events as opposed to Scrapped Princess which is epic, but it follows the main characters more than working on the overlapping powerplays involved.
The year is 2022, and gamers have lined up on launch day for Sword Art Online, a hotly-anticipated MMORPG that lets players connect to an immersive virtual reality world with special helmets called Nerve Gear. Kirito is one such gamer who's eager to jump back into action, having spent a great deal of time as a beta tester, and quickly becomes friends with newbie warrior Klein. But soon, Sword Art Online's 10,000 players discover that not only are they unable to log out, the only way they can return to their physical bodies is by beating the 100-level tower's final boss - that is, if their HP doesn't drop to zero first, for death in the game means death in the real world. Now, with no one else to turn to, Kirito and the other participants must survive the game as best they can – some forming guilds, others ruthlessly leaving their peers behind, and many tragically falling by the wayside or to the merciless monsters populating the lands...
On the whole both take place with a 'medieval fantasy' setting. Plot-wise they remain difference, but there is a similar feel in a 'save the world' way.
Male and female lead who are both very capable (and the female being relatively terse characters).
Legend of Legendary Heroes focuses more on political intrigue.
Auldrant is a world governed by The Score, an ancient prophecy divined by Yulia, which foretells the fate of all things. Thus, the Order of Lorelei is founded with the sole purpose of determining and upholding The Score. However, there always will be those who struggle against fate. Luke is a spoiled young noble of Kimlasca who yearns to be outside of the walls of his mansion. He spends his days spurning the advances of his fiancée Natalia and training with Guy, his friend and bodyguard, and his teacher Van, Commander of the Knights of Lorelei. During an attack on the mansion, he ends up in Malkuth, enemy territory. When he tries to return home, he soon finds himself embroiled in a worldwide conflict between those who would uphold fate and those who would defy it.
1. Major character growth is shown in both male protagonists in the respective anime. Both Ryner (Denyuuden) and Luke (Tales of the Abyss) eventually found their reason to fight and live on for the people they care about.
2. Both anime are set in medieval times where magic and technology coexist. The foundation of the magic in both anime is very similar (i.e., magical circles and the need to say the spells out loud).
3. War is a major plot device in both anime. Specifically, war is waged in the name of peace.
4. The female and male protagonists of both anime were forced to journey together in the beginning, but grew to care for each other.