BMW Digital Motor Electronics Application Guide
The DMEs Below are listed in Version order followed by Body.

Years Body Model Motor Bosch HPN DME Version
84 E23 733i M30/B32 0-261-200-008 M1.0 Basic
85-87 E23 735i M30/B34 0-261-200-059 M1.0 Adaptive
84 E24 633csi M30/B32 0-261-200-008 M1.0 Basic
88 E24 635csi M30/B35 0-261-200-150 M1.1
89 E24 635csi M30/B35 0-261-200-179 M1.3
85-87 E24 635csi M30/B34 0-261-200-059 M1.0 Adaptive
84 E28 533i M30/B32 0-261-200-008 M1.0 Basic
88 E28 535i/is M30/B34 0-261-200-059 M1.0 Adaptive (28 pin)
88 E28 528e M20/B27 0-261-200-154 M1.1
85-87 E28 535i/is M30/B34 0-261-200-059 M1.0 Adaptive (24 pin)
9/84-9/87 E28 528e M20/B27 0-261-200-027 M1.0 Basic
84-88 E28/E24 M5/M6 M88 0-261-200-055 M1.0 Motorsport
87-88 E28/E24 M5/M6 S38/B35 0-261-200-079 M1.0 Motorsport
88 E30 325 M20/B27 0-261-200-154 M1.1
89 E30 M3 - Evo2 S14/B23 0-261-200-090 M1.0 Motorsport
89 E30 M3 - Evo3 S14/B25 0-261-200-092 M1.0 Motorsport
87-91 E30 325i/is/iX M20/B25 0-261-200-153 M1.1
87-91 E30 325i/is/iX M20/B25 0-261-200-173 M1.3
87-91 E30 325i/is/iX M20/B25 0-261-200-351 M1.3
87-91 E30 325i/is/iX M20/B25 0-261-200-380 M1.3
87-91 E30 325i/is/iX M20/B25 0-261-200-382 M1.3
87-91 E30 325i/is/iX M20/B25 0-261-200-524 M1.3
87-91 E30 325i/is/iX M20/B25 0-261-200-525 M1.3
87-91 E30 325i/is/iX M20/B25 0-261-200-526 M1.3
88-91 E30 M3 S14/B23 0-261-200-071 M1.0 Motorsport
9/84-9/87 E30 325e/es M20/B27 0-261-200-027 Basic M1.0
90-91 E30 318is M42/B18 0-261-200-175 M1.7
1/95+ E31 840i M60/B40 0-261-203-484 M3.3 w/ EWS-II
9/93-12/94 E31 840i M60/B40 0-261-200-404 M3.3
91+ E31 850i M70/B50 0-261-200-352 M1.7
96+ E31 840i M62/B44 0-261-203-474 M5.2 (OBD-II)
88 E32 735i/iL M30/B35 0-261-200-150 M1.1
88-90 E32 750iL M70/B50 0-261-200-156 M1.2
89-92 E32 735i/iL M30/B35 0-261-200-179 M1.3
9/92-4/94 E32 740i/iL M60/B40 0-261-200-404 M3.3
91+ E32 750iL M70/B50 0-261-200-352 M1.7
1/95+ E34 540i M60/B40 0-261-203-484 M3.3 w/ EWS-II
1/95+ E34 525i/iT M50tu/B25 0-261-200-413 M3.3.1 w/ EWS-II
1/95-4/94 E34 530i M60/B30 0-261-203-484 M3.3 w/ EWS-II
2/92-93 E34 525i/iT M50/B25 0-261-200-402 M3.1
3/93-8/94 E34 530i M60/B30 0-261-200-404 M3.3
89-90 E34 525i M20/B25 0-261-200-173 M1.3
89-90 E34 525i M20/B25 0-261-200-524 M1.3
89-92 E34 535i M30/B35 0-261-200-179 M1.3
9/91-1/92 E34 525i/iT M50/B25 0-261-200-403 M3.1
9/94-12/94 E34 530i M60/B30 0-261-200-404 M3.3 w/ air pump
91+ E34 M5 S38/B36 0-261-200-350 M1.2
93-12/94 E34 525i/iT M50tu/B25 0-261-200-413 M3.3.1
thru 12/94 E34 540i M60/B40 0-261-200-404 M3.3
thru 8/91 E34 525i M50/B25 0-261-200-405 M3.1
1/94-12/94 E36 318i/is M42disaII/B18 0-261-203-282 M1.7.2
1/95+ E36 318i/is/Ti M42/B18 DISA2 0-261-203-282 M1.7.2 w/ EWS-II
1/95+ E36 318i/is/Ti M42/B18 DISA2 0-261-203-357 M1.7.2 w/ EWS-II
1/95+ E36 325i/is/ic M50tu/B25 0-261-200-413 M3.3.1 w/ EWS-II
1/95+ E36 M3 S50us/B30 0-261-200-413 M3.3.1 w/ EWS-II
9/91-8/92 E36 325i/is M50/B25 0-261-200-402 M3.1
9/92-12/94 E36 325i/is/ic M50tu/B25 0-261-200-413 M3.3.1
92-12/93 E36 318i/is M42disa/B18 0-261-200-990 M1.7
93-95 E36 M3 - Euro S50/B30 0-261-203-075 M3.3
96+ E36 318i/is/Ti M44/B19 0-261-203-667 M5.2 (OBD-II)
96+ E36 Z3 M44/B19 0-261-203-667 M5.2 (OBD-II)
96+ E36 328i M52/B28   MS41.1 (OBD-II)
96+ E36 M3 S50us/B32   MS41.1 (OBD-II)
thru 12/94 E36 M3 S50us/B30 0-261-203-506 M3.3.1
thru 8/91 E36 325i/is M50/B25 0-261-200-403 M3.1
1/95+ E38 740i/iL M60/B40 0-261-203-484 M3.3 w/ EWS-II
9/94+ E38 750iL M73/B54 0-261-203-473 M5.2 (OBD-II)
96+ E38 740i/IL M62/B44 0-261-203-474 M5.2 (OBD-II)
96+ E39 540i M62/B44 0-261-203-474 M5.2 (OBD-II)
96+ E39 528i M52/B28   MS41.1 (OBD-II)

Taken from http://www.bonnevillemotorwerks.com/dmeapps.html (with edits)