MTV is right about the profit part. You can do the LLC and such and not show a profit. I put mine in my S corp. It does make a profit and I bought the 185 for a few reasons, first best plane I ever owned, so I wanted one back. Besides the Birdog was the slowest method to get between two points. Second, some of you may have noticed, there is no paper investments that bring any kind of return as a hedge against inflation. Certain aircraft will always increase in value, mainly the ones that have a commercial life besides recreation. And lastly, the deduction, I was able to write off the bird and the mods completely on last years taxes, a rather large chunk of change.
Now my subchapter S corp leases aircraft, it does have a natural fit, so it may not work for everybody. I do have a C corp that does engineering work and Geology and has some aircraft as well. The C Corp pays it own taxes as a separate entity so the deduction does not have the direct influence on your personal taxes. An S corp flows all its income to the individual(s) owning its personal taxes (this is where the tax increases hurt small businesses, they are not rich, its their company income, not interested in a political discussion here).
LLC's are essentially partnerships. Realize you will need to have your accountant file a schedule K for it. They do charge and you also need to get an EIN (social security number for the company) from the IRS. So if you can gain something from the liability stand off, have something business related so you can take the deduction. Or you have a snaky partner, then having a company for the aircraft is a decent idea. Just realize there is a cost to form any of these and annual maintenance cost that vary state by state.
There are other advantages, but they skirt the grey of the law and can land you in hot water. Lets say you have a corporation outside of your home state, like California. It is a state that wants a large bite out of your ass every year for owning an aircraft. So you form an LLC in Delaware and take delivery in Delaware, or Oregon. Why, no sales tax. Then this company pays for a tie down in some remote skydiving airport in Delaware. Perhaps buys some gas once or twice a year there and have receipts to show it. This gets around the shark-like attitude of California. This is not really legal, but done a lot. The better solution is move someplace else, overall it is cheaper and carries less stress and you do not have to play tax games.