If you're looking for anime similar to Mini Vanguard, you might like these titles.
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.