Ah, I love Live-A-Live. It's one of those early SNES rpgs that North America really missed out on, it's probably one of Square's better games too. It's almost like an early Chrono Trigger, and I love how each chapter is essentially a mini-RPG, self-contained, and yet ties into the overall plot by the end... but I digress.
RPGClassics has detailed shrine on the game, and good walkthroughs to follow. Most significantly are several walkthroughs for the Shinobi chapter (probably the best chapter in the game, and so many different ways to tackle it), while you can beat that chapter killing everyone, or killing no one (monsters don't count), the optimal way (killing those you need to) is probably the best... though you may not need to do everything. IE: Getting Circle in the party is probably not worth the time it takes to do it...
This is one complex RPG, and you'd really need to know it in order to time attack it.