Final Fantasy 7,8,9. They truly pushed console graphics and story depth to new heights. However let it not be said that there were dozens of awesome games that shall have to remain unnamed for now. lol
Wing Commander III: Heart of the Tiger and Wing Commander IV: The Price of Freedom. I loved these games as a kid. The PS ports were horrible, but they were all I had. I've downloaded WCIV from the classic library on PSN.