You didn't mention PCP, although others did.
It sounds like it may suit you more, its kind of in the middle of the lease / buy thing really. Its closest to a lease but a little more flexible.
Sending a lease back early will come with significant costs, it varies by who you go to (so well worth comparing a few) but will typically be 50-100% of the outstanding payments.
PCP often works out well on cars that will depreciate more heavily, as the balloon will smaller the finance cost will be smaller. The manufacturers sometimes give bigger contributions on these cars as they need to shift them so thats a good one to look for.
There is the final consideration, the PCP to loan switch.
Basically as PCP is finance you can withdraw (important term) within 14 days of taking it. So if you find a car that has a high contribution for taking PCP, you do this, then repay that with funds from a bank loan. You will often get a lower price with PCP due to the discount than you would on cash. They don't like people doing this, but cannot stop it so as long as its not over abused it will carry on (check dealer paperwork to ensure the contribution doesnt become repayable, but its highly unlikely).
I got an extra £4k off with Audi for taking PCP as opposed to buying. I then took out a ZOPA loan to repay the finance of the PCP. I wouldnt sign a PCP deal I wasnt happy to see through to the end just in case something went wrong between taking that and getting the other loan, but its a nice gamble if it pays off.
Of course you can also leave the PCP to run where it functions very much like the lease so you can just hand it back at the end, but you may have some equity in the vehicle that functions as a deposit.
The other thing to consider is that both lease and PCP will have extra terms applied, so you need to be more careful at the end than if the car was yours. Typically costs for missing keys, scratches, missing service details etc will be higher than the value you will loose trading in an owned car at a dealer etc. Or plan to have a smart repair guy tidy it up at the end.