Live-A-Live is probably the best game similar to Chrono Trigger since the whole non-random battles element came from there. 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 Mario & Luigi Series

The Remaster is well worth it and fixes a lot of RNG issues that the original SFC version had.