I transferred my personal domain, liquidchicken.org, to AWS today with little issue. It’s important to follow Amazon’s instructions very carefully. See: Transferring Registration for a Domain to Amazon Route 53

There will be several steps on both the AWS Route53 console and on the current registrar’s site, including:

  1. Verifying that the admin e-mail is correct and accessible
  2. Unlocking the domain so that the clientTransferProhibited flag does not appear in Whois for the domain
  3. Approving the transfer with your registrar