While writing my question on Good Luck Girl!, I noticed that the tag is currently set to binbou-gami-ga, and doesn't appear to have any synonyms. However, at least on Funimation, the anime title is given as Good Luck Girl!, so I'm inclined to suggest that
good-luck-girl be added as a synonym. (It's worth noting that on Hulu, the name "Binbougami ga" is kept. The first usage is also seen on Funimation clips on YouTube, such as this one.)
However, since I have written exactly zero answers for that tag, I can't suggest tag synonyms on the tag page (and so am mentioning this here). (Also feel free to retag this question if I've tagged it improperly).