For you, Westie*, anything! (Although, having just spent the afternoon battling language barriers telephonically all over town, please don't ask us to revisit this anytime soon.)
It was, as you correctly point out, back in 2005 that we last tackled the question of laundromats and not surprisingly, given the subsequent economic meltdown that hit our city particularly hard, a good number of the venues we listed before have disappeared (or at least weren't answering their phones when we called within normal business hours).
Here are details for the ones that did. Please note that we haven't tried any of these facilities in person, but many of them have online reviews -- positive and otherwise -- if you Google them, plus we'd recommend calling ahead to verify hours and prices, just in case. The majority also offer self-service wash and dry.
NORTH STRIP & DOWNTOWN (Circus Circus, Stratosphere, Palace Station etc.)
CENTER STRIP (Venetian, Wynn, Caesars Palace etc.)
SOUTH STRIP (MGM Grand, Excalibur, Luxor, Mandalay Bay, etc.)
Since most laundries have last-load time requirements, we recommend you get there at least two hours before closing if you plan on doing your own wash and dry.
*For those of you unfamiliar with Westie, who submitted this QoD, he and his wife are long-time LVA members and he's a regular poster on the LVA forums, not to mention a prolific contributor of excellent restaurant reviews on our site.