I was reading http://physics.stackexchange.com/a/3501/50770, where it is mentioned in the 3rd point that

" there are examples of quantum theories which could result from quantization of two (or more) different Lagrangians, for example involving different degrees of freedom."

and it is further mentioned that the theory can have no classical limit or more than one classical limit. What is the precise condition that determines the number of classical limits of a quantum system? Is it an universal feature or it depends upon the system at hand? In the latter case, what are some examples?