Midland-made Range Rovers and Jaguars were among hundreds of vehicles unloaded from the stricken ship Hoegh Osaka.
Four tugs towed the 51,000-tonne ship back into Southampton Port last week after it had become stranded for 19 days off the Hampshire coast.
The Singapore-registered ship, which has a cargo of 1,400 cars and 105 pieces of construction equipment, was beached deliberately on Bramble Bank sandbank, near Southampton, on January 3 after it began listing as it left the port.
The cargo includes 1,200 Jaguars and Land Rovers, 65 Minis and 105 JCBs.
A spokesman for ship owners Hoegh Autoliners said most of the cars had survived unscathed, while some had suffered dents and scratches.
It was revealed that an excavator had shifted punching a hole in the hull causing 3,000 tonnes of water to flood some of the car decks. The spokesman said a small number were under water.
The discharge of the cargo had also been delayed as a track compacter, used to crush gravel, had shifted and was blocking the exit ramps.
The spokesman said: “There has been some damage but most of the lashings held so most of the cargo didn’t shift meaning that is relatively unscathed with minor damage such as dents and scrapes, most of it is in good condition.
“A small number of vehicles did get wet and suffered damage from that but they haven’t been taken off yet.”