(Posted in 2 parts, 'cos AB's being awkward tonight!):
For a more detailed version of the search facility which Toureman has provided, see here:
http://www.abi.org.uk/carinsurance/search.asp
For a car to fall into a low insurance group, the following requirements normally apply:
1. The car should be cheap to buy (Think Kia, Proton, etc.)
2. The car should be cheap to repair (Think Ford)
3. The car should have a small engine.
4. The car should be unattractive to 'boy-racers' or 'joy riders' (Kia, Proton, again).
5. Ideally, the car should have good security. (Unfortunately, the best security is usually found on cars which don't meet the previous four requirements!).
Without doing any checking, if I was looking for a car with a low insurance group. I'd probably be looking for something like a Ford Fiesta (with the smallest engine available for the year of production) or, as I've indicated a less popular make such as Kia or Proton. (I drive a Proton and pay only �140p.a. for my insurance but I'm much older than you with maximum no-claims bonus).