Get a kill during a lights sabotage

Obtain the Bahamut ZERO Materia

Learn Chaos—Vincent's last Limit Break

Score 10,050 points or more in G-Bike at the Gold Saucer

Learn Final Heaven—Tifa's last Limit Break

Learn Slots—Cait Sith's last Limit Break

Obtain the Leviathan Materia

Learn Great Gospel—Aeris's last Limit Break

Learn Cosmo Memory—Red XIII's last Limit Break

Go on a date with Barret in the Gold Saucer

Have your whole party fall in battle

Have Yuffie join your party