You can often find good new websites through search engines directly, but that's not the only way. Often a link on one site will direct you to good new sites you'd never heard of before.
Here's an example: I was searching for more information about Lifeyo. One of the results included this site, which was built by a woman who has been trying out a whole host of free website builders.
I already knew of several of these. However two of them were completely new to me. These were Hipero and FreeWEB.me.