Elite gets you nothing at places with a EA/ES set up. For smaller locations with counter service, it's not supposed to get you anything. But I've found that I get what I would consider "unusually good" treatment about a third of the time, usually when a manager is working the counter. Definitely "above and beyond" stuff, such as putting aside a LaCrosse for me for eight hours when I called to ask about the best option for a passenger with a physical limitation since we'd be arriving at midnight, offering me upgrades to convertibles and Cameros (sadly, I'm too tall to comfortably take advantage of either). I frequently get upgraded from PCAR->PGAR.
Except at BNA. There, I will get a Taurus and I will be expected to enjoy it.