The biggest flaw of Chrono Cross for me is that it wasn't like Chrono Trigger. I wanted more timelines to visit but I only got one and that's just an alternate reality. I was also overwhelmed about the amount of characters of CC. Although I got the hang of it, the atmosphere was just way different from CT. It was like playing a different game. And I don't like that Serge was a silent protagonist, through and through. I never felt any relation with that guy. They could've just tweaked him a little bit and eureka, magic IMO. I mean Zidane could be annoying as hell with his antics,Squall maybe get you irritated for his anti-social behavior, or Tidus with his awkward LOLs atleast they had personality . And don't get me started with Krono being silent but he had a funny face, and he reminded me a lot of Goku, so it wasn't that hard not to symphatize at all.
Then the plot, I know it wasn't horrible but I can't recally anything I've done prior to the twist. Simply, it was forgettable.