Wix is a free service for creating and hosting beautiful websites. Wix recently announced that their templates and the websites you build with them are now available in HTML5. That means that sites created in Wix are visible on all devices including iPads.
Whatfolio is a free service for creating online displays of your digital works. Whatfolio is essentially a homepage to show off what you have created or what you can do. Whatfolio pages are highly customizable for a variety of purposes.
Weebly was one of the first website building tools that I played around with when I got started on my technology integration journey. If you're looking for a tool for students to use to create websites of their own, Weebly for Education is a good resource. Weebly for Education includes all of the intuitive website-building and blogging tools found on Weebly plus features built specifically for education. Weebly for Education offers bulk creation of student accounts which teachers can manage and moderate. Students can create their own websites and blogs using the accounts that you create for them.
School Rack offers a free service for teachers to build and host their own classroom websites. Unlike other free website solutions that are targeted toward a general audience, School Rack has features designed specifically for teachers.