One thing, the only thing I've seen of Chrono Cross was a few minutes in the first dungeon so I saw what was probably one the simpler environments plus a few battles but I gotta tell you, game was ugly.
Chrono Trigger is one of the most polished 2D titles on the extremely mature 2D hardware of the SNES. Chrono Cross on the other hand is a 3D game on the extremely primitive PSX 3D hardware. Cross is completely crippled right out of the gate in this regard.
The only PSX Rpgs that age well in the visual department are the 2D ones, the 3D ones don't in any way.