I have a 2010 MBP and it is rock solid and still going strong and when it was brand new, I bought Apple Care; let me tell you why. As an aside, I can do all the computer repairs myself and if I need help, my girlfriend's daughter is, though a PC person, a good hand as well. The point being that I do not do it for the repairs themselves though the free parts are nice.
So as to the why: Apple has been superb with me in so far as customer service is concerned. They replaced my cMP keyboard when it gave up the ghost about a month AFTER my Apple Care ended and they did not even want the old one back and they have always been very helpful (though, at times, it has taken the intervention of more senior service personnel) and stood by their products. So if they are so wonderful and I can do so much why buy Apple Care? Because I have better things to do than computer surgery and walking into an Apple store and being able to walk back out with a functional machine or phone is absolutely worth it. The problem is not as clear when everything is working and there is no deadline looming; however, when there is no need to diagnose or shop, when you can swap a hard drive or use target mode to move files over at Thunderbolt speeds, when you can just go back to what you were doing, that is when Apple Care shines.
There is coverage for your machine on your credit card when you bought it with the particular card and there is coverage on either a homeowners or renter's insurance but there is a long lag between report and reply and then between reply and action. If you cannot live without your Mac then Apple Care pays for itself in the peace of mind that you get knowing that when something does go wrong, you will just pick up where you left off.