We had Japanese students who were obsessed with Furbies for all of about one year... then they disappeared altogether. Much like a bad dream, except with even more painful memories. I was a kid then, so I think I survived by just waiting till the batteries died (or the student moved out with it; I forget which came first). Strangely, I think one of them continued to work even after the juice was gone O-O
How would I deal with them, or any other "cute, furry plush toy that says adorable phrases" that won't shut up now? Probably use them as tee-ball practice, since its hard to throw those sons-of-bitches correctly. Screw the environment; these things, and anything like them, need to die with a vengeance - ESPECIALLY those creepy "tickle-me-Elmo" things (which the Nostalgia Critic lovingly satires in one of his more recent reviews).