That's actually an interesting question, as you would think that these type of customer facing retail positions would not merit criminal record check's.
However I suppose once again it would be down to risk assessment.
If you had a conviction for theft, could it be possible that a bookmakers would risk giving you a job handling thousands of pounds a day ?.
If you had a conviction for assault, could it be possible that some major food retailing company would allow you to deliver goods to the public ?.
I suppose the bottom line is weather there is an actual need for some type of blanket criminal record checking in place and if so where would the line be drawn in respect to what crimes would bar you from it.
There are going to be lots of ideas that will be thrown up by this posting, I just hope that they are constructive ones.
There are no mistakes in life, only lessons.