I went googling. Specific examples I could find...
From the Commentator
Health and Safety Framework Directive... forces small businesses to keep written health and safety risk assessments, even if they are working in a low-risk sector. These legal requirements cost time and money, and it should be up to the UK Government to decide whether small, low-risk businesses need to have written risk assessments.
So not saying NO REGULATION; but optional regulation.
Waste Framework Directive which involves rules on the disposal of business waste. It requires all businesses to register as waste carriers even if the waste being transported is considered low-risk... Removing such requirements for those who only transport a small amount of low-risk waste, could benefit tens of thousands of small businesses.
I wonder what the advantage of registering as a waste carrier is; does it reduce flytipping?
country of origin labelling (meat)... requires companies to include the definition of origin on the country of slaughter as well as the country of rearing despite there being little evidence to suggest consumers want information on where farm animals were slaughtered.
Just out of curiousity, if anyone works in a small business, say a bakery selling meat pasties, do you keep records where the meat was reared or slaughtered? I bet you don't. In the wake of the horsemeat scandal, ditching supply chain records does seem a bit, er, undesirable to me, but what do I know.