Thanks everybody for your prompt responses! I agree that generally it's not a good idea to ship a car- However, there are some special circumstances in my case, including:
1. My company is being quite generous with relocation assistance, and they've given me a specific amount that must be spent on things like shipping, which should easily cover the cost of shipping the car, since I don't have much furniture, and in fact, will probably decide to sell it all here and buy a bit over in the UK.
2. I'm recalcitrant about not wanting to shift with my left hand.

3. The car is a 1987 Porsche 944S. Due to its age, I won't have to pay any VAT tax on it. Also, I talked to a couple guys who shipped a similar model, and they only had to do a few minor modifications to the lights, which is encouraging.
4. Because I'm such a silly bugger about cars (It takes me many months to find what I want), if I don't ship mine I'll have to arrive, immediately buy a car I don't want just to get to work, and then buy another and sell the first later this year, incurring transaction costs, hassle, etc. I couldn't get much for my car if I sold it here anyway, which is a shame.
Has anyone had particularly good personal experience (or heard of one) with a specific car shipping firm?
Many thanks,
SunKing