Carrd is a platform for building simple, responsive, one-page sites for pretty much anything, whether it's a personal profile, a landing page with a MailChimp signup form, or something a bit more elaborate. It's fast, flexible, simple to use, and has generous free plan. However if you'd like connect your own domain, you'll have to sign up for a plan.
You can start with one of dozens of templates (or a blank canvas) and make it your own. They look great at every screen size right out of the box, from phones to tablets to desktops.