Here's a list I've compiled of Mobile Suits that appear in Gundam 00 and it's side stories, these mobile weapons won't need a seperate profile to be filed in the mechanical section. However, your own customizations (if any) should be included in character profiles. Radical customization may call for a seperate MS Application.
Celestial Being
GN-000 0 Gundam
GNY-001 Gundam Astraea
GNY-001F Gundam Astraea Type F
GNY-001F2 Gundam Astraea Type F2(Kai)
GNY-002 Gundam Sadalsuud
GNY-002F Gundam Sadalsuud Type F
GNY-003 Gundam Abulhool
GNY-003F Gundam Abulhool Type F
GNY-004 Gundam Plutone
GNY-0042-874 Gundam Artemie
GN-001 Gundam Exia
GN-001/hs-A01 Gundam Avalanche-Exia
GN-002 Gundam Dynames
GN-002/DG014 Gundam Dynames-Torpedo
GN-003 Gundam Kyrios
GN-003/af-G02 Gundam Kyrios Gust
GN-004 Gundam Nadleeh
GN-004/te-A02 Gundam Nadleeh Akwos
GN-005 Gundam Virtue
GN-005/PH Gundam Virtue Physical
GN-006 Cherudim Gundam
GN-006/SA Cherudim Gundam SAGA
GN-007 Arios Gundam
GN-007/AL Arios Gundam Ascalon
GN-007+GNR-101A Archer Arios
GN-008 Seravee Gundam
GN-008GNHW/3G Seravee Gundam GNHW/3G
GN-009 Seraphim Gundam
GN-00902 SEM
GN-XXX Gundam Rasiel
GN-XXX+GNR-000 Sefer Rasiel Form 1
GN-XXX+GNR-000 Sefer Rasiel Form 2
GN-XXX+GNR-000 Sefer Rasiel Form 3
GN-XXX+GNR-000 Sefer Rasiel Form 4
GN-XXX+GNR-000 Sefer Rasiel Form 5
GN-0000 00 Gundam
GN-0000/7S 00 Gundam Seven Sword
GN-0000+GNR-010 00 Raiser
GN-0000/XN XN 00 Gundam
GNR-000 GN Sefer
GNR-001 GN Arms
GNR-001D GN Arms Type-D
GNR-001E GN Arms Type-E
GNR-101A GN Archer
GNR-010 0 Raiser
Linear Train Industries
GNW-001 Gundam Throne Eins
GNW-001/hs-T01 Gundam Throne Eins Turbulenz
GNW-002 Gundam Throne Zwei
GNW-003 Gundam Throne Drei
GNW-003/SH Riian
ESF/Kataron
MSJ-04 Fanton
MSJ-06 II-A Tieren Ground Type
MSJ-06 II-AC Tieren Antiaircraft Cannon Type
MSJ-06 II-C Tieren High Mobility Type
MSJ-06 II-E Tieren Space Type
MSJ-06 II-ED Tieren Zhizhu
MSJ-06 II-LC Tieren Long-Range Cannon Type
MSJ-06YIII-B Tieren Kyitwo
MSJ-06III-A Tieren All-Region Type
VMS-15 Union Realdo
MA-115HT Union Realdo Hover Tank
SVMS-01 Union Flag
SVMS-01AP Union Flag Orbit Package Colony Guard Type
SVMS-01SG Shell Flag
AEU-05 AEU Hellion
AEU-09 AEU Enact
AEU-09RG AEU Enact Suille Palace Guard Type
AEU-05G AEU Hellion Ground Type
AEU-09Y812 AEU Enact
--------ESF Only-------------
GNX-509T Throne Varanus
GNX-603T GN-X
GNX-604T Advanced GN-X
GNX-607T GN-XII
GNX-607T/AC GN-XII Sword
GNX-607T/BW GN-XII Cannon
GNX-609T GN-XIII
GNX-612T/AA Superbia GN-X
A-Laws
GNX-609T GN-XIII
GNX-612T/AA Superbia GN-X
GNX-704T Ahead
GNX-704T/AC Ahead Sakigake
GNX-704T/** Ahead Smultron (Super Soldiers ONLY)
GNX-704T/FS Ahead Forcing Scout Type
GNX-Y802T Neo-Hed
GNX-U02X Masurao
GNX-Y901TW Susanowo
GNMA-04B11 Trilobite
Innovade
GNW-20000 Arche Gundam
GNW-20000/J Jagd Arche Gundam
GNZ-001 GRM Gundam
GNZ-003 Gadessa
GNZ-004 Gaga
GNZ-005 Garazzo
GNZ-007 Gaddess
GNMA-Y0001 Empruss
GNMA-0001V Regnant
CB-0000G/C Reborns Gundam/Cannon
Other
MSER-04 Anf