Bitcoin and the underlying Blockchain technology has shown the way for eliminating MIDDLEMEN. Blockchain is basically a distributed database that whatever it records can not be REFUTED by anyone.
I would say where you see an establishment with MIDDLEMAN in real life there is (probably) a Blockchain solution that is been worked upon as we speak.
The most effective use case at this point is transfer of value/money without middlemen. Before cryptocurrencies there was no way to send someone across an ocean money without a middleman (bank,visa,moneygram etc)
Ethereum, Smart contracts, (code enforable contracts)
Steemit, Decentralized social network
Ripple, International fast transactions
Monero, Untraceable transactions
Siacoin, Decentralized cloud storage
Golem, Decentralized computing resources
I would say that the distributed nature of blockchain makes it hard to find easy solutions. Solution are being worked on and some have been found as shown above but they will not be adopted until they are as efficient and shiny as the tech they are replacing. I would give blockchain projects a few more years before we start seeing mass adoption.
Here is an inforgraphic of a few more blockchain projects (marked as web3.0) and the establishments they are trying to replace (web2.0)
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