A Guaranteed Home for Our Veterans Act of 2005 - Prohibits the making of any payment or grant generally made by the Department of Veterans Affairs to a state for the care of veterans in a state nursing home with respect to a State that does not allow a veteran who is a resident of a state home in a different state to transfer to a state home in that state, on a space-available basis, without a requirement for a waiting period with respect to establishment of state residency.