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Well to start there are two versions of cityfight:
Cityfight 1 (cityfight) was a 40k supplement that altered several rules that dealed with fighting in the denser battlefields of cities, villages, settlements, ets.. It altered coherency for squads in buildings, effectively doubling it, and made the use of vehicles a bad idea with the ability to hit top armour (which had the same value as rear armour.)
Then there is cityfight 2 (Cities of Death) which is essentially the modernised version of cityfight (AKA made to work with fourth edition.) Rather than alter any of the rules in the fourth edition codex, CoD added in strategems. Stratagems are various 'upgrades' that did a wide array of things depending on which one(s) was taken.
So it used to be, and for some people who still play original cityfight, like I do, remains to be, several tweaks and alterations of the rules; but the new version is just fourth edition with more difficult terrain/cover, different missions, and some more rules.
Take my love, take my land, take me to where I cannot stand; I don't care I'm still free, you can't take the sky from me.
"The difference between gods and daemons largely depends upon where one is standing at the time."- Lorgar
Member of the Fluff Masters Clan
If you walk into a GW you'd be lucky to still be able to buy a copy of Cityfight since it is badly outdated (and- as darkreever said- CoD is the new, updated version).