If I remember correctly you first must complet every other collisum matches. After that you need to have the big event at Hollow Bastion completed. After that Pain and Panic Paradox Cup should open. To unlock the other cups you need to:
*Obtain all drives and summons
*Level up drives and summons
*Complete all the worlds.
Also, the only way to unlock Hades Paradox Cup is to complete every world and max out all summons and drives.