There was announcement at the World Travel Market conference, held in London this week, that UK nationals can apply for the US Global Entry Scheme. Payments to the UK Government (for security checks) and the US (Global Entry fee) total about £100. You also need a personal interview at a US airport office of CBP. More details are expected. Based on my travels, if you go to the US often, it's a huge timesaver.
This is now live for everyone! Just head to https://global-entry.beta.homeoffice.gov.uk/register-to-apply, read the information, then click the "Register to Apply" button at the bottom of the page. Assuming it behaves like the beta, should only take you a few minutes to complete the UK form, then you pay your £42 fee (visa/mastercard only). Have your passport handy. I expect it'll take a little longer than the 18 hours they managed for me in the beta to do the checks and give you your GOES code, but we'll have to see now it's open to all The US side takes rather longer, both to complete the form and to review the application. For the US form, you'll need your passport handy, and driving license, and your addresses for the last 5 years, and your employer's name + address + phone number for the last 5 years. Oh, and all the countries visited in the last 5 years, to be entered via a tiny box and a UI that resets to the top every time you add a country...
To be fair, the standard UK Visa form has a small box into which you are meant to enter the dates and details for each and every country you've visited in the last 10 years. Obviously other countries retaliate when Brits try and apply for a visa to their neck of the woods.