Chrono Cross is excellent!
I never played Chrono Trigger because you don't get analog abily, and from the looks of it, the graphics really suck. If they were to remake it in regaurds to these things, I might consider buying it.
Chrono Cross is a great game and though not my favorite, certainly one of my favorites. I could say this whether it is a sequel to Trigger or a stand alone game. Doesn't matter. Their are only a few minor things that I didn't like, such as Kid not being there for half the game, and not ever having a chance at becoming Serge's girlfriend, and characters coming to Serge's aid so late in the game... Orlha for example is ready to get her 7th level tech once she joins. But overall, I love this game almost as much as Final Fantasy VIII and X-2.