I'm pretty sure it was said that the limits would be unique to each class/job in the full game.
In the beta a load of classes use the buster sword/braver as a sort of placement of some sort.
I heard that Pugilist/Monk will use Tifa's Limit Break or something that looks very similar to her moves. The Conjurer/White Mage use some gospel healing light that recovers the HP of party members. The Thaumaturge/Black Mage use meteor and comet like spells in there limits.
I'm not sure about the other classes thought but I know it was said that each job/class would have there own limit.