Great minds think alike, I spent an hour or two last week listing some of the rarest stuff. Here's my version, with my estimates on values:
The Rarest New Order Records* (Foreign releases unless significant, not included. Post-Factory also not concentrated on)
1 Temptation 7": UK 1982 (Factory/Mute FAC 63b/Mute 22b) Testpress mispress, only 8 made. 200
2 Dreams Never End / Truth 10": US 1981 (The Automatt) [one sided acetate] Album version. This was never planned as a single. 175
3 Blue Monday 12": UK 198? (Factory FAC 23-12) Joy Division's "Love Will Tear Us Apart" misspressed. 175
4 BBC Transcription Disc - In Concert #422 LP: UK 1987 (BBC Transcription Services CN5049/S) [promo] The BBC transcription discs high-quality live-recordings intended for radio broadcast only. They are made in a very limited quantity, hence extremely rare. 150
5 BBC Transcription Disc - In Concert CD: UK 1993 (BBC Transcription Services TCD0624) [promo] The BBC transcription discs high-quality live-recordings intended for radio broadcast only. They are made in a very limited quantity, hence extremely rare. 150
6 Only the Lonely 10": US 1983 (Factory/Rough Trade) [acetate] The song is also known as "Ecstasy". 125
7 Blue Monday 7": PL 1988 (Tonpress DS-25-A) [promo] OR (Tonpress S-534) Unique sleeve. The promo was made in 60 copies. 125
8 Power, Corruption and Lies LP: GE 1983 (Factory/Rough Trade RTD11A) [testpress] Marble vinyl, 250 copies pressed, no picture sleeve. Some sources say 500 copies. 100
9 The Perfect Kiss 2x10": UK 1985 (Factory FAC 123) [two one sided acetates] 65
10 Tutti Frutti 12": BZ 1989 (WEA 6wp.1004) [promo] 60
11 Mr. Disco 12": BZ 1989 (WEA 6wp.1064) [promo] 60
12 Run 2 7": UK 1989 (Factory FAC 273-7) [promo] Only 500 pressed as Radio/DJ promo. 50
13 Confusion 7": GE 1983 (Rough Trade LC 5661) [1 sided promo] Vinyl comes in eight different colours: green, lime, blue, purple, marble green/red, green clear vinyl, red clear vinyl and yellow clear vinyl. 50
14 Substance 1987 2xLP: UK 1987 (Factory FACT 200S) [gatefold sleeve] + Issued only to Factory employees; numbered limited edition of 1000. 50
15 Republic CD: JP 1993 (Polydor K.K. POCD-1110) Limited edition, includes lyrics and extra tracks, 1500 copies. 50
16 Procession 7": NZ 1981 (Factory FAC 53) Limited edition, light blue background and dark blue letters. 50
17 Procession 7": PG 1981 (Factory/Vimusica VFACT 110-2) AND: 7": SP 1981 (Nuevos Medios 20 008S) Blue graphics with grey background, mispress with reversed labels exists. 50
18 Procession 7": US 1981 (Factory/Rough Trade FAC 53) Yellow graphics with grey background and Rough Trade sticker, UK pressing. Also exists in aqua, green, and blue. 50
19 Republic CD: US 1993 (Qwest 9 45311-2) Promotional copy in yellow spongy digipak. 50
20 Bizarre Love Triangle 7": CA 1986 (PolyGram FAC 26) [gatefold sleeve] Limited edition of 2000. A-side is unique edit. 45
21 Get Ready CD: FR 2001 (WEA/London 8573 89621-2) Available on FNAC as a limited edition of 2000 in combination with comic booklet. 45
22 Procession 7": IT 1981 (Factory FAC 53) Black and white sleeve. 45
23 Temptation 7": IT 1982 (Factory/Base FAC 63) Lettering on sleeve in black, not embossed. 45
24 Christmas Flexi 7": UK 1982 (Factory FAC 51b) [flexi] Limited edition of 4400 given away at the Hacienda Christmas Eve 1982. 40
25 Blue Monday 7": UK 1983 (Factory FAC 73-7) [promo] Probably 3,000 released 40
26 Confusion 7": UK 1983 (Factory FAC 93) [promo] Probably 3,000 released 40
27 Thieves Like Us 7": UK 1984 (Factory FAC 103) [promo] 3,000 released 40
28 The Perfect Kiss 7": UK 1985 (Factory FAC 123-7) [promo] Probably 3,000 released 40
29 Sub-culture 7": UK 1985 (Factory FAC 133/7) [promo] Probably 3,000 released 40
30 1981-1985 "Special DJ Copy" LP: JP 1985 (Factory/Columbia TD-3072) [promo] Used to promote the tour in Japan. 40
31 Touched by the Hand of God 7": UK 1987 (Factory FAC 193-7) [white label promo] Probably 3,000 released 40
32 Fine Time 7": UK 1988 (Factory FAC 223-7) [pink sleeve promo] Probably 3,000 released 40
33 Blue Monday 1988 CDV: UK 1988 (Factory FACDV 73R) [PAL] Contains a unique, slightly different mix/edit of Blue Monday 1988 (7" version) 40
34 BBC Radio 1 Live In Concert CD: UK 1992 (Windsong International WIN CD 011) Also as a limited edition issued in a wooden box. 40
35 In Order CD: US 1993 (Qwest PRO-CD-5970) [promo] Promotional item featuring a track from each available New Order album. 40
36 Technique LP: GE 1989 (Factory/Rough Trade RTD 100) The second pressing was issued with a free 7", Blue Monday 1988 (RTD 035). 40
37 Get Ready CD: GE 2001 (WEA/London 8573 89621-2) Sold at HMV and comes with a 16-page booklet with a complete discography. Promoted with a flat card, PROP 05229. 40