LittleBigPlanet Hits Japan on October 30, 2008
A firm launch date for other territories has yet to be officially announced, aside from a vague fall release window.
However, considering that the developer is European based, it wouldn’t be unreasonable to expect a release in both Europe and the U.S. around the same date.
To quote, roughly translated from French: "Announced for October in Europe and the USA, but without specific day, LittleBigPlanet has reached its official date for Japan: October 30, 2008, priced at 5,980 yen (36 €)."
