If you have Brood War than you can go to single player then do melee or go to multiplayer and do top versus bottom and add computers. If you have starcraft2 then you can do versus AI on single player (beta doesn't have single player) or you can go to multiplayer and play with someone against an AI. Hope this helps! :)
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If Blizzard did make world of Starcraft there would hardly be a difference between World Of Warcraft and World Of Starcraft since Starcraft and Warcraft are very similar games. so there is really no point of making it.
Starcraft was co-developed by Saffire and Blizzard Entertainment.
Zerg is an alien race in Starcraft.
You can play Starcraft Broodwar online on Battle.net.
Make sure to install the IPX network protocol in your network properties.