The US has 4 of these GenIII+ beauties going up by 2020:
https://en.wikipedia.org/wiki/AP1000#United_States - 2 in Georgia, 2 in South Carolina
But that's about it for new nuclear plans. Watts-Bar in Tennessee just finally finished their 2nd reactor, 40 years in the making (seriously) that is about to come online, but it's an old Gen II design.
Unfortunately there is roughly a dozen plants that are likely to be decomissioned early, just like the Vermont Yankee plant that Bernie helped kill was, and the San Onofre plant in California that got shut down a few years ago. Activists are trying to Fukushima-scare the Diablo Canyon plant (California's lone remaining nuclear plant) into early closure because it's near the ocean and OMG TSUNAMI, but the fact that it's 250 feet above sea levels where a tsunami could reach 90 feet tops doesn't seem to deter them.