Primarily, I see ZeroNET as its competitor. And ZeroNET has the bling and the wow factor, but much of the underlying system is.. unfinished. It also requires some heafty frontend with backing DB as well. It seems cobbled on and over-engineered.
IPFS, on the other hand, is clean and clear of its focus. It's simple enough to do as it purports. It works now. It seamlessly works with gateways to allow non-IPFS users to access the network. It's network agnostic: ip4, 6, and whatever else is a protocol addon. And it seems to be on its way to an IETF standard.