Hi Rems,
I'm finding the international calculators are ones you need to pay for in order to gain access. I just did a quick search, used to be some free ones - perhaps try some of the larger recruitment companies who deal with international candidates to see if they have any.
A $125K salary is approximatley 3 times the national US average salary of around $37-39K USD so in 'simple' terms a three times the UK average of around £23K is about £70K. However you mention 'Equivalent lifestyle cost' and that's where things get a little more complicated. The two are different things.
Have a look through the many posts here about cost of living and salary etc - you need to asses the aspects of your lifestyle you have and enjoy, look at the realistic levels of pay you can get with your skills in the UK - be it a job or your own business, and then compare the costs of doing the 'same' things you enjoy with the disposable income you have left over at the end of each month say to get a good idea of the salary you want to bring in and can get compared to what you'd like to continue being used to. You don't mention the industry or business you are in, but overall, jobs that are advertised that pay over £60K are very few and far between, and get much more rarer the higher you go. Anything usually advertised at £70,80,90 100K plus is almost invariably to do with the medical, Law, company director level.
It's fairly easy to research elements of your lifestyle for UK costs, by visiting websites to do with those - gym membership, cars, clothes, restaurants, holidays etc etc can all be found easily. The more 'usual' and basic requirements of Rent, Mortgages, utilities, insurances, taxes, etc etc can also be relatively easy to get ballpark fgures from websites too.
Good luck & hope this helps!
Cheers DtM! west London & Slough UK!