If you're looking for anime similar to Another Vanguard: Seidou no Asuka, you might like these titles.
Now, in the modern age, the creator of the unvierse, Majin, has revived suddenly. At the same time, visitors from the darkness have descended to Earth. As danger nears the Earth, three men pursue a young boy. “Is he a match? Could he really be humanity's last hope?"
Welcome to the game of Live On! In it, people known as Cardlivers use collectible cards to summon mysterious creatures for battles. One such Cardliver is Kakeru, an elementary school student who wants nothing more than to beat his friend Ai in a game. During a stroll through a park Kakeru runs across a hurt puppy named Petal and, using a card that it gives to him, transforms into a wondrous wolf and defeats the dog's would-be and sinister captors. Alongside Petal, Kakeru sets forth with his new cards to become the best Live On player around!
A new cast of characters takes over the story of Battle Spirits, based on the popular trading card game. Hajime Hinobori is as enthusiastic about his favorite rice topping as he is about his favorite hobby, Battle Spirits...but one day outside the Battle Spirits store, he's challenged by someone who asks him: what is your fated card?
The story of Battle Spirits: Sword Eyes is set 14 years after Atlantia, the largest country in the world of Legendia, was torn apart by riots. The protagonist Tsurugi Tatewaki was secreted away from the chaos at a young age. Oblivious to his true birthplace, Tsurugi grows up as a spirited boy in the neighboring rocky land of Pacifis. One day, Tsurugi suddenly comes across the "Shining Sword," and his great adventure begins.