I don't think WHO is going to be able to convince the world's media to call this the "H1N1 influenza A" -- doesn't exactly roll tripingly off the tongue.
Some of the commenters on Effect Measure have other suggestions:
"I saw a funny article from Finland that the English translation call it the TexMex Flu."
"I call the virus the "USA Capitalist Pig Virus". The stories I have read have all linked the inception to a USA Corporate owned hyper-intensive pig farm in Mexico."
"My friends and I are calling it the "Flying Piggy Flu". It's "flying" because it has avian genes. (I suppose we should have worked humans into the name somehow, but this has a nice ring to it.) Also "piggy" seems more friendly/less scary than "swine". The fact that "flying" is sometimes used in place of a more common f-word in polite company had nothing to do with it, but is a nice added bonus."