Storj is similar to project SAFE(MaidSafe) in that it offers storage for crypto but Maidsafe has been 8 years in the making and is an incredible technology that is aiming at basically competing with the internet on a protocol level - they have built bittorent like functionality in the underlining protocols and made it completely decentralized.

In short:

Storj is competing against Dropbox

Maidsafe is competing against www (and as a side-effect will offer free Storj   )