They offer public tours of active duty carriers from time to time around here. A guy I work with has done them a couple times.
I've been on the Midway which is right near downtown on the other side of the harbor from the active duty carriers. It is really freaking cool.
Sweetness. They are amazing vessels, no matter what generation.
I saw the USS Lexington (48k tons) in Corpus Christi when I took my girlfriend there. A lot smaller (1/2 the size) of a Nimitz-class (101k ton), but still more than twice the size of the UK's HMS Illustrious (22k ton, active) and the same size as France's Charles de Gaulle (42k ton, active).
Amazing, the array of military power our country has. 20 carriers operational in the world and the US has 11 of them, and those are the only 11 deemed "supercarriers". Hell, the 9 amphibious assault ships (41k ton) the US currently has operating are almost all bigger than the remaining 9 carriers (save the Russian & Chinese, 67k ton).