In particular, he needs to take a fresh look at proportional representation for Westminster. The first-past-the-post system, by encouraging the parties to target their messages at voters in a hundred or so marginal constituencies, has resulted in the effective disenfranchisement of most of the population and thereby increased the public's alienation from the political process.
In addition, if Mr Brown is going to starting banging the drum for "liberty" as he did in his Westminster University speech this week, he must look again at the ID card scheme. As well as being potentially the biggest infringement of individual liberties in this country since rationing, it will also cost an estimated £15bn to implement which most people think could be better spent elsewhere.
More in this vein in my weekly Saturday round-up of the week's political events, which can be read in the Newcastle Journal and HERE.