Tom and Mittens the Cat
At the beginning of Disc 1, you meet up with a boy named Tom who is looking for his cat, Mittens. Go to the entrance of Alexandria, and find Mittens there. Tom comes running and thanks you. Go back behind Moogle Bell Tower, where you met him, and he'll give you a Bomb Card.
He loses Mittens later also, but I don't the way, if there is one, to rescue him then.
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