With six Challenge modes, five Arcade modes, Lessons, and a 100-stage Adventure mode, there is plenty to keep you busy. Versus, Party, and Big Bang can be played with either Puyo Puyo or Tetris, against an opponent using either as well. This is great when playing against friends with experience in only one of the game types, but Puyo Puyo is admittedly slightly easier to gain the upper hand when up against Tetris. A combo of two in Puyo Puyo is enough to send at least some garbage to your opponent, which is arguably easier than setting up a four-line clear or combo in Tetris.
Versus is straight forward: make combos in Puyo Puyo, or clear four lines at once in Tetris, to send garbage to your opponent. In Party, items on the board can be cleared with puyos and tetriminos to activate attacks or buffs. The Tetris player is at a slight disadvantage here, too, as one attack causes pieces to drop at an incredibly fast pace, making it significantly more difficult for the Tetris player to evenly distribute dropping tetriminos.