Ah! My Goddess 2: Flights of Fancy

Also known as:  AA! Megami-sama: Sorezore no Tsubasa

One year after goddess Belldandy emerged from Keiichi Morisato's mirror and promised to stay with him forever, a new threat to their happiness emerges, one that could end the contract between Belldandy and Keiichi.

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