My favourite example of this (and forgive my hazy memory) was from an American airline company.

A passenger on a two connecting flights was going to visit his mother who was terminally ill and had fallen very sick. He was flying over as he'd been told she had hours to live. The airline company (who's name I unfortunately can't remember) did everything they could to get the flights off the ground as quickly as possible, the captains spoke to each other and relayed the important message and ensured that this mans journey was a quick as possible.

The man himself made it to see his mother before she passed away. In his words, if the airline company hadn't have done this, he wouldn't have made it in time to see her.

That story warms my heart every time I hear it and I think is my favourite story of a company going above and beyond.