Great little introduction on how to host a static website on AWS S3 bucket.
http://docs.aws.amazon.com/AmazonS3/latest/dev/website-hosting-custom-domain-walkthrough.html
Its really easy to setup and configure. I used a GoDaddy certificate and redirected with a masked url. All in all it took a matter of minutes to set it up but you have to make sure to make the site public each time you upload / re-upload content to the s3 bucket 😦