I did a medium case 3.73 LSD from a 325i. Fits perfectly, just had to bend the little sheet metal tab for the rear diff mount a bit.
From what I've found, the large case (e34 535i, M5, 540i, e32 735i, e38 740ietc.) will not fit at all. The e30 M3 ran a modified medium case diff. What I'm calling a medium case might be what you're calling a large case though. The small case, stock on M42s and M10 e30's has six cover bolts. The medium case has eight bolts on the cover, and it's shared with many of the smaller e28 M20 cars. There are detail differences in the cases though. M30 diffs will not work, too big.