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I host my personal website on relichost.net, it's £6/year but for my one page 'about me' and some simple email it's more than enough.

Also I hadn't thought of S3 - that's a good shout.

There's also https://www.nearlyfreespeech.net/ which offers static site hosting for $0.01 per mb/month

Spot on. These are the guys I use, they are great.

The transfer rate is $1/GB. If you don't have many pictures and serve pre-gzipped html/css/js (needs a custom .htaccess) the bill can be very low.

Amazon S3, could probably host a static site for around this price.