Limit Internet access to White-Listed Sites?

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http://serverfault.com – We have need for certain computers to have their Internet access limited to a list of sites, denying access to all others (white-listing). Some of these sites use HTTPS, so the solution needs to support both HTTP and HTTPS. I'm not super concerned about people bypassing the filter mechanism, as this is not really for malicious behavior but more for blocking the accidental malware click that has happened in the past. I'd rather this be something that is installed centrally, rather than the list having to be maintained on each computer. We currently have a Linux Server that can be used. I'm (HowTos)