I've been a bit obsessed with the idea of flipping through the internet a bit like you would a magazine, of undirected browsing as a discovery mechanism, and I think I'm approaching something that's beginning to feel pretty fun.
The link at the top will return results out of a pool of approximately 10,000 domains, you can refresh to get new ones. You can also explore in a directed fashion by using the 'Similar Domains'-buttons. These are not random.
A sampler, beyond the random sites offered with the head link
https://search.marginalia.nu/explore/www.amiga-news.de
https://search.marginalia.nu/explore/www.aaronsw.com
https://search.marginalia.nu/explore/therealbitcoin.org
I don't have thumbnails for all 500k domains in the database yet, but I think it's getting to a number where it's reasonable useful.