I don't know if it strictly counts as 'retail', but one chain I can see going before too long is the Post Office.
The absolute shocking disgrace of them knowingly destroying the lives of so many hardworking, loyal postmasters and mistresses certainly hasn't helped their reputation one bit.
I absolutely loved the idea that somebody on the BBC News Have Your Say thread about the new Vicar of Dibley stamps suggested: they should be made to release a new set of stamps - maybe one or two a week/fortnight - featuring Sir Alan Bates on the first one and then followed by every single one of the people they knowingly defamed in turn.
The sheer unreliability of Royal Mail - yes, I know they're technically two businesses, but they're very much co-dependent and most people don't really see them as different. All Amazon need to do is to tweak their existing highly-effective network organisation slightly and branch out into personal mail and parcel collection - maybe a yellow pillar box next to every red one - and delivery and RM will be toast in no time at all.
However, (sort of) back to the thread, as far as their high street presence is concerned... well, it isn't. How long can you keep the reputation and pride of a business going when they lack the resources/will/ability to maintain their own premises in the vast majority of high streets up and down the country?
How can a business model of 'sofa-surfing' in other shops - and then relying on those shops both surviving and happily continuing to host them - be taken seriously? Then, if they don't, they're desperately looking for somebody else willing to put them up in a corner somewhere.
The Post Office was once such a proud, strong, admirable presence on every high street (not to mention all of their own sub post offices). Now it's reduced to a parasite business - relying on finding whoever amongst the other shops will have them, almost like a charity case.