Downloading blacklists of certs is exactly what happens. They are called OCSPs and CRLs. The operating system is responsible for tracking these through a combination of caching and downloading new OCSPs/CRLs. The database does not grow too large, because CAs use certificate chains. The cert that is vouching for some website is not the cert in your trusted root store. Root store certs are kept under lock and key - these very rarely get compromised (this is what happened to DigiNotar and they are no longer in business - their certs were invalidated by everyone in the industry and they were filing bankruptcy less than a month later).
What does happen are leaf certs being compromised. When this occurs only that leaf and everything below it in the chain is revoked, so if you have enough certs in the chain you usually don't revoke many certs at a time. Generally speaking, the lower the cert in the chain the lower the trust level, which includes stuff like the cert not remaining valid for as long a period.
You can read about how Windows implements cert revocation here: http://technet.microsoft.com/en-us/library/ee619754%28WS.10%...
I'd assume Apple does something very similar.