Comedy and acrobatic troupe The Flying Karamazov Brothers are, as of April 2011, being advertised in London under the slogan: "They're not Russian, they don't fly and they're not brothers."
Malibu Rum. According to the other wiki, it was originally made in Curacao, then in Barbados, and is currently made in Canada. It was never made in California and the ad campaign doesn't even pretend it was.
There are three brands of beer called "Bavaria" - one Dutch, one Colombian, and one Brazilian.
GM's Pontiac brand, esp. in the John De Lorean era, had a knack for using names from motorsports on cars (with the notable exception of the Trans Am) or trim levels that had no connection to their namesakes (e.g., LeMans, Grand Prix, GTP, etc.), and in fact, generally on cars that were not intended for any major racing series (or usually, not for any racing at all after the early 70s). Most blatant was naming the Pontiac GTO, which stood for (translated from Italian) "Grand Touring Homologated" despite the fact that Pontiac had by that pointdropped out of factory-supported racing altogether and would never homogolize a car for Grand Touring Car racing.
Payless's BOGO (which stands for Buy one, get one) is not a true BOGO, because you do not get free shoes instead you just pay half price for the next pair. It should be called BOGOHO (Buy one, get one half off)