I'm very fond of most Sega Saturn, Playstation and Dreamcast game intros of my childhood Xenogears, Guardian Heroes, Valkyrie Profile, Rockman X4, Far East of Eden: The Fourth Apocalypse, Tales of Destiny, Persona 2, Sonic Adventure and Segagaga.
Galerians
Eretzvaju/Evil Zone
Silhouette Mirage
Ghost in the Shell
Dragon Ball GT: Final Bout
Mega Man X3
Galerians: ASH
Psychic Force
Magic Knight Rayearth
Burning Rangers