In this blog I've added all ships and vehicles from the movies that have a particular name like the Millennium Falcon. I've added the class (if possible) and the (various) owner(s) of the ship. If you know any ships that I have forgotten, please let me know!

Accuser - Imperial II class Star Destroyer - Admiral Griff / Admiral Piett - VI
Aken - Acclamator-class Republic Assault Ship - GAR - II
Avenger - Imperial II class Star Destroyer - Captain Needa - V VI **
Bloodfin - FC-20 Speeder Bike - Darth Maul - I
Braha'tok - Dornean Gunship - Kiles L'toth - VI
Bright Hope - GR-75 Transport - Rebel Alliance - V
Chimaera - Imperial II class Star Destroyer - Captain Pellaeon - VI
Defiance - MC80 Mon Cal Cruiser - Rebel Alliance - VI
Devastator - Imperial I class Star Destroyer - Lord Tion / Darth Vader - IV V VI
Dominator - Victory-class Star Destroyer (hull overhaul) - Galactic Empire - VI
Dowager Queen - Unknown - Tatooine Colonists - IV
Dusty Duck - custom special - Aneesa Dym - I (deleted scene on dvd)
Dutyfree - GR-75 Transport - Capt. Areta Bell / Rebel Alliance - V
Executor - Executor-class Star Destroyer - Admiral Ozzel / Admiral Piett / Darth Vader / Captain Kallic - V VI
Guarlara - Venator-class Star Destroyer - GAR - III
Home One - MC80 Mon Cal Cruiser - Admiral Ackbar - VI **
Independence - MC80 Mon Cal Cruiser - Rebel Alliance - VI
Invisible Hand - Providence-class Carrier / Destroyer - Lushros Dofine - III
Jendirian Valley - AA-9 Coruscant Freighter / Botajef Freighter Liner - Unknown - II
Judicator - Imperial II class Star Destroyer - Galactic Empire - VI
Khetanna - Luxury Sail Barge - Jabba the Hutt - VI
Krayt's Honor - Gozanti Cruiser - Siqo Vass - I II
Lapiz Cutter - Sheatipede-class Neimoidian Shuttle - Nute Gunray - I II (III?)
Liberty - MC80 Mon Cal Cruiser - Rebel Alliance - VI
Luminous - GR-75 Transport - Rebel Alliance - VI
Masanya - Corellian Corvette CR90 - Rebel Alliance - VI
Millennium Falcon - YT-1300 Stock Light Freighter - Unknown / Lando Calrissian / Han Solo - III IV V VI **
Outrider - YT-2400 Stock Light Freighter - Dash Rendar - IV
Quantum Storm - GR-75 Transport - Rebel Alliance - V
Radiant VII - Consular-class Republic Space Cruiser - Captain Madakor - I
Redemption - Nebulon B EF76 Escort Frigate - Rebel Alliance - V VI
Ro-Ti-Mundi - Venator-class Star Destroyer - GAR - III
Saak'ak / Profiteer - Lucrehulk-class LH-3210 Battleship - Daultay Dofine -
Satellite Liberator - Bendine XR12 - Watto -- I (engine in Watto's junkyard)
Scatalpen - Vokoff-Strood Titan 2150 - Ratts Tyerell - I
Scimitar - Star Courier Prototype (Sith Infiltrator) - Darth Maul - I
Slave I - Firespray-class patrol ship - Jango / Boba Fett - II V
Soulless One - Belbullab-22 Starfighter - General Grievous / Obi-Wan - III
Stalker - Imperial II Class Star Destroyer - Captain Akal Zed - V
Tantive IV - Corellian Corvette CR-90 - Royal House of Alderaan - III IV
Thon's Orchard - GR-75 Transport - Rebel Alliance - V
Thunderflare - Imperial II class Star Destroyer - Galactic Empire - VI
THX 1138 - Void Spider TX-3 - Unknown - IV
Torktarak - Dornean Gunship - Etahn A'baht - VI
Tydirium - Imperial Lambda-class Shuttle - General Solo - VI **
Tyrant - Imperial II Class Star Destroyer - Captain Lennox - V
Ultimo Vista - Giga-class Transport - Unknown - II
Unlimited Projection - Lucrehulk-class LH-1740 - Trade Federation - III
Vigilance - Venator-class Star Destroyer - GAR / Obi-Wan Kenobi - III
Visage - Imperial II class Star Destroyer - Galactic Empire - VI

** Mentioned in the Saga

These ships are not seen during the movies, but they are (were) owned by someone who does appear in the movies:

Blaze of Glory - YT-1930 Freighter - Rycar Ryjerd
Herd Mother - Modified Light Freighter - Ketwol
Hinthra - Elis Helrot
Hound's Tooth / Nashtah Pup - YV-666 Light Freighter - Bossk
IG-2000 - Aggressor Assault Fighter - IG-88
Infinity - BoShek
Longest Winter - Modified Ghtroc Freighter - Zutton & Takeel
Manka Hunter - Corsair Starship - Greedo (the Younger)
Martyr - Unknown - Qymaen jai Sheelal
Millanti - Banniss Keeg & Ellorss Madak
Misthunter - G-1A Transport - Zuckuss
Punishing One - Jumpmaster 5000 - Dengar
Quadstar - YV-888 Light Freighter - Solomahal
Sublight Queen - Stock Light Freighter - Nien Nunb
Tafanda Bay - Ithorian Herdship - Momaw Nadon
Shelltooth - Gymsnor-3 light freighter - Kal'Falnl C'ndros