Ugh, "algorithm-less" is the new "chemical-free." There's an algorithm, actually, many algorithms, used to serve that content up. Just as all things are made of chemicals.
That said, there are some bad algorithmics being applied in our world. I like the things mentioned in this article. The ones boosting unpopular / unseen content seem cool. These aren't algorithm-free; they're algorithms to discourage bubbles.
The one that simply refuses to crosslink content is curious -- it's the only one that might be described as algorithm-free, as it's simply not providing the next thing to watch. This is the opposite of the others, it requires you to find content through your bubble and might simply piggyback other social sites.