Another significant difference in the Indiana law is that it supported religious rights in disputes between individuals. Other such laws are specific to disputes between an individual and the government in relation to the exercise of a law. In other words, it's applicable in civil cases, not just criminal ones.
To give a ridiculous example, in most such states you could claim that your religion barred you from harming vermin and therefore health laws regarding cockroaches in your kitchen did not make you liable to health laws, (if you could somehow prove that government health laws didn't represent the least intrusive government action.) This wouldn't protect you, however, from me suing you over a bug in my soup. In Indiana, you would be protected from me suing you for damages, too.