Complete the indicated task to unlock the corresponding Beyblade.

Black Left Spinning Flame Saggitario: Complete Story mode, then purchase at the shop.
Gold Rock Leone: Complete Story mode and continue until you reach Crystal Leol.
Gold Storm Pegasus: Complete Story mode repeatedly until you reach Tsubasa.
Golden L-Drago Bolt: Go to Free Battle mode, then to Bey Crusher and K.O. 93 Beyblades.