1.) What's the difference between a Quartz Crystal and a Ceramic Resonator?
2.) Which one will be the most accurate to use for MP3 Players / CD / DVD Players? Which one is more stable?
1.) It's in their name; the material they're made from. Ceramic resonators may or may not have a third pin (ground).
2.) The most accurate & stable would be the quartz. I guess you are thinking about phase jitter.