How to clear Amazon CloudFront Cache completely?

CloudFront does now support wildcard or full distribution invalidation. You will need do do one of the followng.

• Invalidate each object that has changed
• Invalidate /*
• Version your objects so that they are considered new (Ie rename or querystring)

http://docs.aws.amazon.com/AmazonCloudFront/latest/DeveloperGuide/Invalidation.html#invalidating-objects-console

You need to use /* instead of /.

Also, if you need to do this frequently, you can do it using the AWS CLI.

aws cloudfront create-invalidation --distribution-id=YOUR_DISTRIBUTION_ID --paths "/*"

Edit: thanks to @speckledcarp, you need to use "/*" (with quotes) when using the CLI.