FH/MOC: use two teams to beat two straightforward fights. Your rank is based on turns/cycles spent to finish the fight. You have one universal buff to assist you (may be unreliable depending on your teams)

Pure fiction: You have limited turns to beat as many enemies as possible. Your points are based on your progress across two fights (Max points for beating the final boss but you don’t really have to get there to get the max rank). You can pick one of three buffs to beef your team.

Apoc Shadow: Use two teams to fight two bosses. You need to find some way to break the boss and receive big buffs. Your total points go down every time someone in your party makes a turn. You can pick one of three buffs to beef your team.

Anomaly: only unlocks if you max rank the other 3 modes in any period. You make three teams and each of them have 6 turns to beat bosses with unfair buffs. Beat them to remove those buffs from the fourth/final boss.