Well bowl me over guv'nor
"Limiting access to your personal information is the key to safety from ID fraud."
Well done Action Fraud (an exclamation mark needed in that moniker surely?) , an observation almost as astute as it is entirely bloody pointless and obvious, but then stating the bleeding obvious is about as close as we get to preventing fraud these days innit. Forget collaring the toerags who do the blagging, or perhaps taking a solid object to the delicate, well groomed knuckles of those who can't be arsed to look after our data having demanded a serious excess of it for some pointless service before shipping it off to some corner of the world where "data" doesn't exist in the local dialect and "protection" rarely appears in sentences that don't contain "racket".
Stick instead to persuading us that the ultimate fate of our intimate details is in our own hands and, should we end up on the wrong end of fraud, we really only have ourselves to blame, the state and the corporations having done their utmost to save us from ourselves. Generating cheap, unhelpful soundbites is after all far cheaper than doing something useful.
As an alternative, you could, for example, mandate (and enforce!) that collection of data is limited to what is strictly neccessary to provide the service or goods and is disposed of immediately it is no longer needed. You might insist vociferously that all personal data is encrypted at all times while in the possession of government departments or businesses (no, not "password protected"!!) and accessible only by those who really, really need to, with genuinely draconian punishments for transgression such as prison or the withdrawal of the right to hold personal data in future. You could place the onus on businesses to prove that their IT is up to snuff and they are fit to hold data , rather than on the (meh) ICO to prove they flunked it.
Finally, as a personal favour, you could insist that all credit cards (not activated) are delivered by signed for courier service rather than randomly distributed by the so-called "post-man" somewhere within a mile of the intended address, and that companies immediately, on request, cease sending personal detail haemorrhaging paper bills, promos, reminders and general fluff you don't need because you have t'interwebs to view this crap without damaging your marriage, your credit rating or any trees.
But I'm sure you'd prefer to just keep blaming us and let the cash stay where it so rightly belongs, in corporate pockets.