Facebook is one such service offering this. The Tor Blog has an article regarding this topic. It mentions how it is not a contradiction to use Facebook over a Tor Hidden Service. To quote from it.

[...] the key point here is that anonymity isn't just about hiding from your destination.

There's no reason to let your ISP know when or whether you're visiting Facebook. There's no reason for Facebook's upstream ISP, or some agency that surveils the Internet, to learn when and whether you use Facebook. And if you do choose to tell Facebook something about you, there's still no reason to let them automatically discover what city you're in today while you do it.

Also, we should remember that there are some places in the world that can't reach Facebook. Long ago I talked to a Facebook security person who told me a fun story. When he first learned about Tor, he hated and feared it because it "clearly" intended to undermine their business model of learning everything about all their users. Then suddenly Iran blocked Facebook, a good chunk of the Persian Facebook population switched over to reaching Facebook via Tor, and he became a huge Tor fan because otherwise those users would have been cut off. Other countries like China followed a similar pattern after that. This switch in his mind between "Tor as a privacy tool to let users control their own data" to "Tor as a communications tool to give users freedom to choose what sites they visit" is a great example of the diversity of uses for Tor: whatever it is you think Tor is for, I guarantee there's a person out there who uses it for something you haven't considered.