The PS Vita can natively play PSP games. While BT3 isn't a PSP game, is the handheld's closest equivalent, using the same engine and mechanics.
In the pantheon of anime fighting games, few titles are held in as high regard as Dragon Ball Z: Budokai Tenkaichi 3 (known as Dragon Ball Z: Sparking! METEOR in Japan). Released in 2007 for the PlayStation 2 and Wii, it remains the gold standard for 3D arena fighters—boasting the largest roster in franchise history (over 160 characters), breakneck combat, and destructible environments. ps vita dragon ball z budokai tenkaichi 3