Dick,
I have seen LSD or Sperrdifferential in 3.9, 3.6, 3.23 & 3.15.
If you cant find the ratio you want with LSD you can use the LSD centre out of one diff and the gears from another e.g. a 3.15 LSD and a 3.64 non LSD they need to be set up by an experienced diff man.
Early and late diffs have diffent diameter bolts that hold the ring gear to the centre so depending on which way you swap you may need to have an engineer make some spacer tubes to prevent the ring gear from moving. I am doing a swap that requires them at the moment and have made several spare sets if anyone has the need.
I would hope that with the number of BMW's in Europe you would be able to find your choice without the need to go swapping.
It is also interersting to note that you really need to be unlucky to buy a bad used one. They are well built and the bearings seem to run forever without wearring out even with black oil.
Good luck in the hunt and keep us posted. There are a few readers that are unsure of ratio and would like a few more opinions before parting with the Dollars or Euros.
cheers