Stitch!

The TV anime Stitch! was adapted by studio Madhouse, based on Disney's "Lilo & Stitch" animation film. Taking place in the future after the film, the anime features a Japanese girl named Yuuna in place of Lilo, and is set on Izayoi - a fictional island off the shore of Okinawa - instead of Hawaii.

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Producers, official website and other details: AniDB, ANN, Wiki