FF13 has ATB, with some tweaks. Most notably that you can some actions without waiting for your turn. Other than that, it's just a fast ATB system with the ability to stack several turns and perform them at once.

Except the thing where you get game over if the character you control dies, FF13's battle system is actually pretty neat. FF13-2 fixed that problem, though, and is perhaps the most enjoyable game to actually play out of almost all the final fantasy games.