Yeah, Chrono Trigger had a fun and interesting way of handling it but it was also the entire premise of the whole story. Legacy of Kain series actually involved time travel quite extensively. Soul Reaver 2 delt with it a lot, as did the later games. I mean Soul Reaver him self was a character fused with the essence of a specific weapon. And through time travel, at the end of it, he was using him... self. It was weird, but an awesome moment.
Then you also had the odd bit of Kain using The Reaver in later games and how they tied together and... I miss that series. Would love a reboot.
Never played Chrono Trigger *ducks rotten fruits being thrown*.
I kinda see about Legacy of Kain, but I still think the otherwise strong writing and voice acting carried the flaw away. They could could have found a way to make that story without time travel I think, albeit yes in that case it hasn't ruined the plot.
Still, it's an exception. When time travel is the entire premise, sometimes it gets it sorta right, or doesn't take itself too seriously (Back to the Future). But when it's just one element added to a story, the writers then have to contrive all sorts of nonsense as to why it's not used to solve every problem in the story. When they actually don't just leave unexplained why such an incredible power is not used (cough Harry Potter cough). So yeah, I tend to hate stories about time-travel or it's bastard child, alternate realities. Yes that means I didn't like Bioshock Infinite's story.