[Nokia Lumia 800] Briefcase:
With the above information i was able to find the following list:

059L6Z8: Nokia 800 RM-801 Orange_France_VAR184416_Matt_Black_V9
059L701: Nokia 800 RM-801 Vodafone D2 Germany DE VAR185140 Matt Black -v1_0
059L702: Nokia 800 RM-801 Vodafone Spain ES VAR184662 Black V1_0
059L703: Nokia 800 RM-801 Vodafone NL NL VAR185576 black v1
059L704: Nokia 800 RM-801 Vodafone UK GB VAR184670 Contract Black V1
059L705: Nokia 800 RM-801 Vodafone IT IT VAR185182 black
059L732: Nokia 800 RM-801 SFR_FRANCE_VAR186264_Black_2_V8
059L733: Nokia 800 RM-801 BOUYGUES_FRANCE_VAR186265_Black_V9
059L7C2: Nokia 800 RM-801 CV_UK_VAR184726_Black_v1_3
059L7C6: Nokia 800 RM-801 Orange_UK _VAR184415_Matt_Black_V9
059L7C7: Nokia 800 RM-801 Orange_Spain_VAR184417_Matt_Black_V9
059L7D3: Nokia 800 RM-801 E-Plus_DE_VAR187499_11414_008__Black_v1
059L7F7: Nokia 800 RM-801 CV_DE_VAR186332_11414_005_Black_V1
059L7F9: Nokia 800 RM-801 3 IT_VAR187443_v4
059L7H0: Nokia 800 RM-801 T-Mobile_UK_VAR184418_Matt_Black_V7
059L820: Nokia 800 RM-801 Country Variant Italy IT MATT BLACK V1
059L8M3: Nokia 800 RM-801 H3G_UK_VAR187539_Black_v4_2
059L975: Nokia 800 RM-801 Country Variant_India_VAR188644_Black_v1
059L9P0: Nokia 800 RM-801 CV_SPAIN_BLACK_VAR188160_V3
059L9Q7: Nokia 800 RM-801 CountryVariant_Netherlands_VAR187920_black_V4
059L9R1: Nokia 800 RM-801 Country Variant Netherlands NL Magenta v1_COLOR
059L9S2: Nokia 800 RM-801 Country Variant Netherlands NL Cyan v1_COLOR
059L9S2: Nokia 800 RM-801 Country Variant Netherlands NL Cyan v1_COLOR
059M040: Nokia 800 RM-801 Country Variant_Singapore_VAR189979_Black_V6
059M043: Nokia 800 RM-801 Country Variant_Singapore_VAR190002_Magenta_V6
059M045: Nokia 800 RM-801 Singtel_Singapore_VAR190036_Magenta_V6
059M046: Nokia 800 RM-801 SingTel Singapore SG Matt Black V1
059M099: Nokia 800 RM-801 Singtel_Singapore_VAR190194_Cyan_V6
059M0B9: Nokia 800 RM-801 CountryVariant_Singapore_VAR190010_Cyan_V6
059M0C7: Nokia 800 RM-801 TMO_DE_VAR186287_11412_Black_v10
059M0D5: Nokia 800 RM-801 StarHub Singapore SG Matt Black V1
059M0D6: Nokia 800 RM-801 Starhub_Singapore_VAR190230_Magenta_V4
059M0D7: Nokia 800 RM-801 Starhub_Singapore_VAR190236_Cyan_V4
059M0D8: Nokia 800 RM-801 M1_Singapore_VAR190242_Black_V4
059M0D9: Nokia 800 RM-801 M1_Singapore_VAR190248_Magenta_V4
059M0F0: Nokia 800 RM-801 M1_Singapore_VAR190254_Cyan_V4
059M0T5: Nokia 800 RM-801 Country Variant Netherlands NL v1 Black RETAIL
059M113: Nokia 800 RM-801 HK CV_MATT_Magenta_v1_COLOR
059M114: Nokia 800 RM-801 3HK HK 3HK_MATT_Cyan_v1_COLOR
059M115: Nokia 800 RM-801 3HK HK 3HK_MATT_Magenta_v1_COLOR
059M116: Nokia 800 RM-801 HK CV_VAR190909_11451_003_MATT_BLACK_v1
059M117: Nokia 800 RM-801 HK Country Variant HK HKCV_MATT_CYAN_v1_COLOR
059M118: Nokia 800 RM-801 3HK HK MATT_Black_v1
059M144: Nokia 800 RM-801 Country Variant_India_VAR188681_Cyan_v1
059M145: Nokia 800 RM-801 Country Variant_India_VAR188687_Magenta_v1
059M187: Nokia 800 RM-801 T-Mobile DE RETAIL MODE - Matt Black -v1
059M2J5: Nokia 800 RM-801 Country Variant_DE_VAR190643_Retail_Mode_11414_Black_V1
059M2L9: Nokia 800 RM-801 RETAIL MODE_FRANCE_VAR190605
059M2P4: Nokia 800 RM-801 WIND_IT_VAR187651_V4
059M2W8: Nokia 800 RM-801 Country Variant Italy IT RETAIL MODE M-Black
059M3C1: Nokia 800 RM-801 TIM_IT_VAR187639_V5
059M3K3: Nokia 800 RM-801 Country Variant Spain ES Black RETAIL MODE
059M3V9: Nokia 800 RM-801 Vodafone IT IT Vodafone v1 Retail Mode Black
059M405: Nokia 800 RM-801 Country Variant France FR Matt Black CV V1
059M408: Nokia 800 RM-801 CV_Cyan_VAR192345_V1
059M422: Nokia 800 RM-801 CV_Magenta_VAR192344_V1
059M425: Nokia 800 RM-801 3 IT IT RETAIL MODE_Black v1
059M503: Nokia 800 RM-801 Vodafone UK GB VAR192047 Contract Cyan V1
059M507: Nokia 800 RM-801 o2 Germany DE Black_Postpaid_V1
059M539: Nokia 800 RM-801 Country Variant United Kingdom GB V1 MATT CYAN
059M580: Nokia 800 RM-801 Country Variant Spain ES Matt cyan V1_COLOR
059M581: Nokia 800 RM-801 Country Variant Spain ES Matt Magenta V1_COLOR
059M5F5: Nokia 800 RM-801 CV Switzerland CH RETAIL MODE Matt Black
059M5J4: Nokia 800 RM-801 CV Switzerland CH RETAIL MODE Matt Cyan_COLOR
059M5J7: Nokia 800 RM-801 CV Switzerland CH RETAIL MODE Matt Fuchsia
059M5L7: Nokia 800 RM-801 Country Variant India IN RETAIL MODE India BL
059M5L9: Nokia 800 RM-801 Country Variant_IT_VAR188108_Cyan_v2
059M5M1: Nokia 800 RM-801 Country Variant_IT_VAR188109_Magenta_v2
059M5M2: Nokia 800 RM-801 CV_DE_VAR186338_11414_005_MattCyan_V1
059M5M3: Nokia 800 RM-801 CV_DE_VAR186344_11414_005_Fuchsia_V1
059M660: Nokia 800 RM-801 CountryVariant_Singapore_VAR194478_Black_V1_RETAIL_MODE
059M666: Nokia 800 RM-801 WIND_IT_VAR195012_Cyan_v1
059M6J2: Nokia 800 RM-801 CV Russia BLACK v1 VAR187837
059M719: Nokia 800 RM-801 T-Mobile Germany DE Matt Cyan - v1_COLOR
059M7B5: Nokia 800 RM-801 T-Mobile_UK_VAR195828_Matt_Cyan_V7
059M8X0: Nokia 800 RM-801 CV Russia BLACK RETAIL MODE v1 VAR196152

Source: http://www.nokioteca.net/home/forum/index.php/topic/214419-product-codes-nokia-lumia-800-rm-801/

So product code is carrier-dependent and thus NCS wil not allow us to debrand. Let's hope this restriction doesn't hold for the more advanced Phoenix tools.