snyperdud on 07 February 2011
Just off the top of my head.
Kingdom Hearts
Final Fantasy VI
Final Fantasy VII
Final Fantasy X
Bioshock
Star Wars: Knights of the Old Republic
Metal Gear Solid (entire series)
Lost Odyssey
These all have excellent stories and should be played.
Although in recent years, I've noticed that games with a great and fleshed out story has diminished. I'm not sure why exactly.
