The Old White course at the Greenbriar has an alternate green. Number 16, I think. The original green on the two shotter is a medium to long iron over a widw stream, difficult for resort golf. The alternate is to the right of the fairway short of the river, just a short iron, and the green sits right behind the next tee. I think the alternate was built in the seventies or eighties.
Also, Indian Ridge, a four or five year old layout in Oxford, Ohio, has an alternate on its par four twelfth. The "long green" is a reachable par five, significantly down hill. The "short green" is a mid-to-short iron par four, well bunkered. Sorry, don't recall the architect, but the overall course is pretty solid.