Common Sense in Voter Registration Act of 2005 - Amends the National Voter Registration Act of 1993 to permit a voting registrar to remove an individual from the official list of registered voters for Federal elections on the ground that the individual no longer resides in the registrar's jurisdiction, if the individual fails to vote in any election held during two consecutive Federal election cycles, the registrar sends a notice to the individual at the end of the second cycle, and the individual fails to respond to the notice within 60 days.