I'd say Chrono Trigger is probably objectively the better game, but man I enjoyed Chrono Cross much more. The combat is much more enjoyable and the field effects and stamina system always keeps it fresh at every turn. The most effective strategy isn't repeating the same one or two steps like most RPGs get reduced to.
Arriving at Termina then getting to and sneaking through Viper Manor. And then falling to Guldove right after. The game's such a journey and is probably the most vivid game I've ever played.
There's a lot of jargon towards the end but that doesn't really sour me on it. I remember it for the adventure, and with the graphics, music, environments, the places the story ends up going, it's probably my favourite RPG.