How aboutmangledmailman said:i guess if you like a game with 40 undeveloped characters thrown into an incoherent plot, then chrono cross is the game for you.
if you want a game with a few very well developed characters revolving around an original and immersive plot, than you might like chrono trigger.
to think that cross, though a good game, is better than trigger is pretty ignorant. and having your first line of reasoning for that being "better boss battle music" is just more ignorance.
Better Music
More content (a lot of characters to unlock and little hidden parts of the game that you need to search for to unlock)
Great Story (IDK what you were talking about)
BEST COMBAT SYSTEM IN A TURNBASED RPG (tell me I'm wrong)
Better visuals
Thats reason enough for it to be a better game.