It turns out that the original ship named Enterprise was a British sloop captured by I-was-for-America-before-I-was-against-it Benedict Arnold on this day ( 18 May ) in 1775.
The nuclear powered aircraft carrier USS Enterprise (CVN-65) was decomissioned in 2013.
Another USS Enterprise (she will be CVN-80) is under construction, due to be operational around 2025. I like to think that the reason it is going to take so long is that they are working out the kinks on the warp drive. It's hard to get qualified Shaw-Fujikawa Reactor mechanics nowadays -- and that will probably only get worse, what with Common Core and all that.