My first Civ game was SMAC and I loved the AI personalities. They weren't always consistent, but conceptually, at least, it was neat that, for example, the Believers and the University would try to wipe each other out whenever they got next to each other.
It was also cool that if you were allied with a faction's enemy, that would hurt your relations with that faction. Since there are only MPP's in Civ3, that aspect isn't available.
I've only played about 5 games so far, and I've only seen France wipe out England and China -- which is consistent with the French-English rivalry, but not with the French commercial / industriousness.
Anyone else have any evidence of AI personalities?