Yes, some US cars have 3000 mile intervals, though the usage has decreased with the advent of fully synthetic oils and tighter engineering standards in the cars. The 3000 mile interval was more common in the 80's and 90's, and was heavily promoted by dealership service departments and independent service chains like Midas, etc. It is a great way to generate consistent revenue.
However, over the years the word got out that 3000 generally was too soon, especially if using synthetic oil. Depending on usage, 5000, 7500 or even 10,000+ miles can be safely driven on full synthetic oil. Unlike conventional (dino) oil, synthetic does not break down at the molecular level under heat and load. The polymers continuously reform to preserve film strength. That means if kept clean, synthetic oil can theoretically last forever. The problem of course is dirt, which no matter the oil used is an issue. That is why many car manufacturers with long oil intervals still recommend changing the filter more frequently.
So, unless you are a taxi cab driver or pizza delivery person who drives 6-10 hours per day in stop and go conditions, 3000 miles is probably too short of an interval. But remember that you can't hurt anything by doing 3000 miles. You'll just be tossing out relatively clean oil and wasting some $. :biggrin: A lot of people do it just for peace of mind.
For my daily driver (2007 TSX), I do a 5000 mile interval on Mobil 1 because where I live is almost entriely stop and go. If I was a highway commuter, I'd do 7500 or 10,000. For my NSX, I'll be lucky to put 3000 miles on it in a year! Thus, I plan on using the LarryB recommended interval of once per year, probably before I put it away for the winter.