After 3 days of snooping around the interwebs...I've com up with the following ships and their possible SFC equals, thanks to the battleclinic.com. There is just no way that this list can be accurate, but it's a start (and it's installed...)
If you would please, I would like everyone's input on ways to make the list better, As in my search, I never found a comprehensive list. Please I insist on corrections and improvements! Thanks!
Un-named refers to ships that did not have a class that I could find, and n/a refers to ship classes I couldn't find, so I kept the in game models.
TYPE CLASS NAME
F-POL Solar Police Ship
F-POL+ Solar Police Ship
F-FLG Solar Police Flag Ship
F-FLG+ Solar Police Flag Ship
F-FF Ranger Frigate
F-FFG Ranger Improved Frigate
F-FFD Thufir Drone Frigate
F-FFD+ Thufir Drone Frigate
F-FFE Anubus Frigate Escort
F-FFE+ Anubus Frigate Escort
F-FFL n/a Frigate Plasma
F-FFL+ n/a Frigate Plasma
F-FFR Guide Frigate Escort
F-FFR+ Guide Frigate Escort
F-FFB Daran Battle Frigate
F-FFV Hornet Escort Carrier
F-FFV+ Hornet Escort Carrier
F-DW Loknar War Destroyer
F-DWC Loknar Command War Destroyer
F-DWD Salazar War Drone Destroyer
F-DWA Un-named War Destroyer Escort
F-DWV n/a War Destroyer Carrier
F-HDW Un-named Heavy War Destroyer
F-CDW Davies Commando War Destroyer
F-CFF Oberth Commando Frigate
F-CFF+ Ranger Commando Frigate
F-PV+ Abbe Police Carrier
F-DE Saladin Destroyer Escort
F-DER Saladin Destroyer Escort-R
F-SC Anderson Scout
F-SC+ Anderson Scout
F-DD Larson Destroyer
F-DD+ Larson Destroyer
F-DDG Charger Guided Weapons Destroyer
F-DDG+ Charger Guided Weapons Destroyer
F-DDL Scimitar Destroyer Leader
F-DDL+ Scimitar Destroyer Leader
F-CL Durrett Light Cruiser
F-CL+ Durrett Light Cruiser
F-CLD Un-named Light Drone Cruiser
F-CLD+ Un-named Light Drone Cruiser
F-ECL Shanks Escort Cruiser
F-NCL Baker New Light Cruiser
F-NCL+ Baker New Light Cruiser
F-NCD Miranda (Refit) New Drone Cruiser
F-NCD+ Miranda (Refit) New Drone Cruiser
F-NEC Kearsarge New Escort Cruiser
F-NAC Kiev New Aegis Cruiser
F-NER Alseides New Escort Cruiser
F-NSC Akyazi New Scout Cruiser
F-NSC+ Akyazi New Scout Cruiser
F-CLC Ticonderoga Light Command Cruiser
F-NCA Andor New Heavy Cruiser
F-NCM Miranda Miranda Class
F-NCC Miranda New Heavy Command Cruiser
F-NCT Mephisto New Commando Transport
F-NCT+ Mephisto New Commando Transport
F-NVS Catalina New Strike Carrier
F-NVL Nimitz New Light Carrier
F-NVL+ Nimitz New Light Carrier
F-CA Constitution Heavy Cruiser
F-CA+ Constitution Heavy Cruiser
F-CAR Enterprise Heavy Cruiser
F-CAI Enterprise Heavy Cruiser Improved
F-CC Chandley Command Cruiser
F-CC+ Chandley Command Cruiser
F-GSC n/a Galactic Survey Cruiser
F-GSC+ n/a Galactic Survey Cruiser
F-CAD Northampton Heavy Drone Cruiser
F-CAD+ Northampton Heavy Drone Cruiser
F-CADR Northampton Heavy Drone Cruiser
F-CB Balson Heavy Command Cruiser
F-CVB Balson Heavy Command Cruiser
F-BCG n/a Battlecruiser (Kirov Class)
F-BCF n/a Battlecruiser (Bismarck Class)
F-BCJ n/a Battlecruiser (New Jersey Class)
F-BCE n/a Battlecruiser Excelsior Class
F-CFS Rosenzweig Fire Support Cruiser
F-CFS+ Rosenzweig Fire Support Cruiser
F-CVS Illustrious Strike Carrier
F-CVS+ Illustrious Strike Carrier
F-CVL Youngblood Light Carrier
F-CVL+ Youngblood Light Carrier
F-BCV Un-named Battle Carrier
F-DN Federation Dreadnought
F-DN+ Yorktown Dreadnought
F-SCS n/a Space Control Ship
F-DNG Ascension Improved Dreadnought
F-DNH n/a Heavy Dreadnought
F-DNF n/a Plasma Dreadnought
F-CVA Zeus Heavy Carrier
F-CVA+ Zeus Heavy Carrier
F-BB Kodiak Battleship