Most uses of blockchain I see have been put forward by very large companies... but large companies are the least likely to benefit. Blockchain gives you a decentralized source of trust. Large companies (e.g., banks, governments, etc.) specialize in providing a centralized source of trust.
I'd think that small banks/financial institutions would benefit far more than large companies. They can confidently share data with each other and enforce standards among themselves. Big companies, on the other hand, already have that trust through their reputation and detailed, legally enforceable contracts.
Nice example: say you wanna send $5M from the US to another country. Traditionally, you'd call a big US bank, send them the money b/c you trust them, and they'd send it to another large foreign bank b/c the US bank trusts the foreign one. There's a chain of trust based on the stature of the companies, and they charge a nice fee for that peace of mind. Blockchain can allow smaller companies to get into that game, but not entirely sure how it helps the big ones.