IPFS is closer really, but doesn't move in an anonymity friendly direction at all.
Not really "no server". I mean, Freenet users collectively are the servers. As in BitTorrent, I2P and IPFS.
What Freenet does better than Tor is keep content available, even if the provider goes away. As long as it's popular content, that is. Although Tor .onion services are perhaps harder to find, once they're gone, they're usually just gone. There are exceptions, of course, such as the The Hidden Wiki. But any mirroring that happens is entirely ad hoc. In Freenet, it's automatic.
That difference in model is what provides a potential anonymity benefit as there's no longer a path to the origin of the content
For many IPFS is enough for what it does. But in a world where WikiLeaks and Edward Snowden are facts of life, it falls vastly behind on what's needed out there.
I don't think it's possible to do a dynamic site, eg something that needs to read from/modify a database, using IPFS.
Not sure what project is better however. Dat looks pretty cool but also doesn't have anonymity.