I think it's cheating to point out the requirement of Latin (or Greek, or whatever) for Classicists, Historians, Linguists and so on since it's often a given. I think what Tim0500 is asking, and it is a fair question, why would someone outside of these narrow categories want to read Latin.
Now, people often ask this question and I recently even gave a brief talk on it which I'm currently writing up. Anyway the first problem is how we define the question, do you mean unique benefits to Latin? Or benefits more generally? Often many of the so called benefits of Latin (grasp of English, logic and so on) can be found elsewhere. I don't think this invalidates the choice of learning, but I've noticed some critics of the Classics try to press ridiculous levels of proof.
I don't think there's anything inherently valuable in Latin, any more than there is in any literary tradition but then I've a sort of professional, clinical, unsentimental viewpoint here. I mean I find literature valuable, I'm just not really willing to overly privilege any specific subset. It depends on your other interests, if you're a Christian, or interested in the literature of the Renaissance and so on then obviously it will be of great benefit to you. If you're more interested in classical Arabic verse or Native American archaeology...not so much.
I can however thoroughly recommend Latin regardless. I honestly couldn't begin to count up the many hours of joy it has brought me over the years.