I made a new extension for Opera and Google Chrome based on an extension for Safari by Deep Informational Technologies. Thank them for making the original available under an open license allowing me to make the Chromium port.
Click the Site Home toolbar button and you will be redirected to any website’s home page. It will consider the site’s domain name as its main page. Plain and simple.
Update June 2015: Please note that I do not intend to maintain this extension in the future as I kind of lost interest in Opera. The source code is available under a permissive MIT License for anyone interested in updating it in the future.