1. Final Fantasy XII Potion Drink
Drinks aren't exactly a strange promotional item, but the Final Fantasy XII Potion released to novelty-hungry fans in Japan is pretty out there.
With a taste like a "nutritional supplement" drink, it's hyped as offering a "mysterious taste." We're willing to bet it doesn't bestow any restorative properties on whomever imbibes it, but at least it comes in a gorgeous bottle. You can display it once you're done if you ever decide you want to empty the bottle of its contents.