I have all of the chrome-finish Lionel tank cars, as far as I know. Without taking the time to check, that's seven or eight of them, I think. [They look pretty neat running behind the Lionel MPC-era chrome Burlington F-3s, BTW.] Most of these tank cars were done during the MPC era (one of the many innovations done during that period), but there have been several done more recently. The Shell and Lion Oil versions shown below were cataloged in 2001.
To my knowledge, all the Lionel chrome tank cars have been single dome cars. [Incidentally, these cars are quite accurate versions of what was a common 8,000 gal. tank car - and are in fact scale-sized, which many folks don't realize.] Lionel did some silver two-dome tankers, like the one Steve pictured above, including some made during the MPC and later periods, but to the extent the photo Ace first posted is accurate, it shows a somewhat chrome-like finish, more so than the silver tank cars.
In the second photo Ace posted, the exterior doesn't appear as reflective as in the first photo he posted, but it's taken from a side angle. The first photo seems more chrome-like. It's really hard to tell without actually seeing the car, but based on the first photo and the lack of any sign of decals or lettering paint, it seems the exterior would have been altered at some point. Below are a couple shots of the 6425 Postwar three-dome Gulf car. These exterior finishes could be shiny, although not chrome. The one photo below is a 6425 with almost everything missing, except remains of a very faded Gulf logo. The 6465 Sunoco two-dome is shown at the bottom. These don't look as shiny as the shell in Ace's first picture, but they might appear close if both were seen in person.