Live-A-Live is probably the best game similar to Chrono Trigger since the whole non-random battles element came from there (and the SaGa titles). That and several of the team members that worked on Live-A-Live worked on Chrono Trigger. Also, the whole OST is by Yoko Shimomura, the lady who did the osts for;
Kingdom Hearts
Street Fighter II
Super Mario RPG
Legend of Mana
The Remaster is well worth it and fixes a lot of RNG issues that the original SFC version had.