There are two types of outer CV joint,
Small (Drum and Cooper 7.0 Disc Brakes)
Large (7.5" & 8.4" Disc Brakes)
For inner CV's at the side of the differential, there are a three:
Rubber cross (All standard Mini variants to 73 including early Cooper S)
http://www.classicmotoring.net.au/cmos/ ... gcd101.JPGHardy Spicer (Cooper S, Clubman GT, Mini Matic)
http://minispares.com/image.axd?type=pr ... 7H7880.jpgPot Joint (Clubman from 73 onwards)
http://www.minimania.com/images_temp/80 ... dam667.jpgAny can be used with any engine/ car configuration with Rubber Joint being the most problematic, Hardy Spicer next, and pot joint easiest to deal with in use. There is a difference between a hardy spicer universal, and a CV, in that the speed of a Hardy Spicer in use slightly oscillates because of the geometry of the universal joint with respect to the output shaft speed compared to the input shaft. This gets worse as the angle gets more acute. A CV is literally Constant in velocity, no matter what the angle. I am unsure which inner CV is stronger, but its not the rubber cross.
All three need specific setup with the Differential. The difference being the output shafts from the diff being slightly different as well as the side covers on the diff. The rest of the diff is standard to all Minis. If you want to change Inner CV type, then you will need to lift the engine out to alter the differential set up for the output shafts and side covers. If changing to inner CV(Pot joint) then you will need to change the drive shafts out as well. The outer CVs don't mind what goes on with the Inner CVs, as the shafts are all the same on the other end.