Skyblade Crisis Core came after FFVII. It was a prequel. It was released long after the original game, but the events take place before the events of the original game. Don't confuse the poor gentleman.
I wouldn't recommend Crisis Core, to be honest. There is a good deal of the plot that Square retcons for no reason. The majority of the characters are poorly done (although the ones that are well-done are great), and the gameplay is a drastic change from the standard Final Fantasy gameplay. It's not necessarily a bad game, but I do not feel as though it did justice to the series (or FFVII).
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