Some, though I'm drawing some blanks as many shops and sports teams officially adopt the nicknames they get called. I'm going to ignore abbreviations (eg "Maccy D's", "'spoons", "Marks & Sparks", etc) There needs to be some sort of negative vibe from it for them not to.
"Chelski" for Chelsea FC, reflecting their Russian money.
"Primarni" for Primark (which is meant to be pronounced pri-mark, but everyone pronounces prim-ark), the super cheap clothing chain, making it up-market sounding by merging it with Armani
"SleasyJet" for EasyJet, a low cost airline (other, spin-off, brands get the same treatment).
"Worst Group" or "Last Group" for First Group, who run buses, trains, etc with First <name of franchise/area where buses run>. eg Worst Capital Connect, Last Great Western Trains...
The long names of railways gave them lots of nicknames from the initials (never good ones), but those companies are long defunct.
"Kentucky Fried Cat" for KFC
Newspapers:
"The Gaurinaud" for The Guardian. As it was printed in Manchester, the typos of earlier editions were sent to London, whereas other papers were the other way around, and so Londoners only got frequent typos in that paper.
"The Torygraph" for The Telegraph, as it is a vocal supporter of the Conservative Party.
"The Daily Wail" for The Daily Mail, as it constantly scaremongering.
"The Why" for The i[/url], a paper aimed at the Buzzfeed crowd, consisting of a shortened version containing the most clickbaity articles from The Independent: a misnamed paper (I guess it isn't partisan, though gone are the token editorials that disagree with the main editorial stance that it used to have) that is the leftist snobby version of the Wail: alarmist, superior, incredibly biased. Somehow it sells enough to not be so embarrassingly loss making that the parent company has to pull the paper, but not enough to be on people's radar enough that the nickname is ever used (I'm sure I've seen someone else use it and didn't just make it up).