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Cid's last name is Highwind.
squall comes from ff8, cloud comes from ff7, tifa ff7, yuffies ff7, cid ff7, aerith ff7
Cid is a recurring character in the Final Fantasy and Dragon Quest series. He is most often recognized as the pilot of the Highwind.
It was a prequal to FF7, which means there is no 'next' unless they remake FF7 or create a sequal to FF7, which there is no news of at this time.
No, Cid isn't in Crises Core.