Yeah you can do it.
https://www.moneysupermarket.com/car-leasing/used-car-leasing/
But yeah I know most are from new.
If you're comfortable writing off a perpetual monthly payment to cover those costs of having access to a serviceable vehicle then why not. But since this was a cost of living thread I thought the steep financial comparison was relavent.
Excluding inflation, deposits and settlement values which would be too variable to consider:
Lets say a ballpark lease monthly cost of a given German car worth £40k is £400. Times by 36 months = £14,400, or £4,800 per year.
Then consider a similar class and brand of vehicle that had a new price of around £40K, but is now 6 years old will have depreciated around 70% from new so have a value of approx £12K on 6 year used purchase. Assuming you wish to keep the car for a 3 year period and do around 12k miles per year, the value of the 9 year old car would be around £8K. So an £4K depreciation cost over the three years plus any servicing which is variable.... But if you can do some work yourself, a three year period would involve oil and filter changes, coolant changes, brake pad changes, all stuff that you can learn and do at home. Lets include a new set of tyres. Probably looking at no more than £700 over the three years. So a cost of £4700 over the three years or around £1500 per year.
It's basically three times more expensive to own a new car over a three year period on lease than to outright buy a similar 6 year old car over a three year period.
And if you keep the six year old car any longer than the three years, then the average depreciation of the car per year comes down even further still until it eventually bottoms out at around 10% of it's value at new after around 16 years. Assuming you can keep on top of maintenence cost effectively, this is the place to be for maximum cost/car ratio!
Of course anyone who is into their motors would be willing to have a higher expenditure to enjoy the vehicle of their choice, but I think for the average 20 something earning £25K per year, it must limit so many other areas of their life just to commute in 1.8D German car with a fancy screen.