15" rMBP (mid 2012) - screen won't turn on, fans full speed
Apple has launched MacBook Pro Repair Extension Program for Video Issues which can be found here

Apple has determined that a small percentage of MacBook Pro systems may exhibit distorted video, no video, or unexpected system restarts. These MacBook Pro systems were sold between February 2011 and December 2013.
Apple or an Apple Authorized Service Provider will repair affected MacBook Pro systems, free of charge.