Chrono Trigger honestly is one of the most overrated games I've ever played.
The game has about two-three notable parts, but aside from that it's really god damn dull and repetitive and this is come from a huge Dragon Quest fan. Music is also good because of Mitsuda.
Gave the game 4 tries on the Playstation and 3 on the DS everytime I asked myself why I even gave it another try.
If you love Akira Toriyama's art please play the Dragon Quest games. V is a good entry point and is superior in every way.
Or play Radiant Historia if you want a game that features time traveling, although it focuses on alternate timelines and again is superior in every way.
Also you have to play V and XII if you consider yourself a FF fan.
V, X, and XII are the best games I've played in the entire mainline series, only missing VI, VIII, and XIII, but fuck XIII.