As an agent, not a lawyer, it's absolutely possible to own a home under a corporate name.
You should research LLC's and definitely talk to a lawyer (I've got some names for you if you like).
Usually, the smartest use of an LLC happens if you're an investor. For example, a New York City co-op will generally prefer to deal with a buyer, because the buyer retains liability (and accountability) if something goes wrong.
However, if you're investing in real estate to diversify your portfolio, it is really smart to look into LLCs; in fact, you can use certain types of self-directed retirement accounts to invest in LLCs. This is not for everyone, and of course, there are very strict laws regarding co-mingling of funds (any profits go back into the retirement account, and cannot be used personally unless you go through a lot of red tape and IRA rules), and you have to be very careful regarding who is living there. But a self-directed retirement account that allows you to invest in LLCs has the potential to help you grow your retirement account in a significant way, whether your goal is to invest in your own properties or finance other investors' projects. As a private investor, you can loan money at a higher interest rate than the buyer would otherwise be able to access, whether because they have poor credit, lower-then-required income, or some other reason. You can make a loan at a 7-15% interest rate, based on what the buyer needs and how quickly they plan to pay it back.
Here are links to two articles about this topic. The first is from 2009, so you want to check current laws. The second is pretty current:
Let me know if you have more questions or are looking for property; I primarily do business in NYC, but can easily refer you to someone who specializes in this kind of thing.
Douglas Elliman Real Estate