Personally I would have to go with Crono Trigger. To me it was hands down the supirior of the two titles, outside of the previously mentioned music. Honestly I would of liked to see Cross come out as an independant title not affiliated with Trigger. I might of enjoyed it more if it was done that way.

Cross did have a multitude of characters that had decent back stories but they where no where as well developed at Triggers but I did not have a problem with the abundance of availibilty that Cross provided; kind of gave it a Suikoden feel to the title. I really felt more connected with the characters from Trigger though.

Along the lines of story I would have to say Trigger owns over Cross. There is just so much more that happens in trigger and the variaty of different endings makes the game much more appealing.

As for graphics I would have to say Trigger takes the cake, it was revolutionary as in comparison to Cross's graphics which where average for it's time of release.

I actually loved the fact you could spand time (hence crono) and what ever you did in the past could and would adversly affect the future. That gave Trigger a great advantage over Cross.