This would be great if you wanted to talk to yourself without anyone understanding what you’re saying, for example, or if you didn’t want anybody to know what you were writing down. It might also be useful if you enjoy lots of foreign language media (see music, tv shows, movies) and want to experience the “original” rather than through dubs and subs.
Personally, I would go for either Russian or Estonian, both of which are because I frequently listen to lots of music that are in those languages, and they aren’t spoken by any of my friends.
A joke an NYC paramedic told me.
He said that he’d started in the Bronx, and had a hard time because he didn’t speak any Spanish.
He had a much easier time after he went to Queens, because he didn’t speak Spanish, Mandarin, Korean, Portuguese, Dutch, French, Haitian Creole, or any of the other 200 languages found there.