Between 12.15am and 3.56am on Sunday, December 8, offenders gained entry to a residential property on Williamscot Hill on the A361.
Once inside, cash, a number of personal items and the keys to two cars were stolen. The cars were then taken from the victim's driveway.
The vehicles stolen were a Black BMW and a red Jaguar. The BMW was later found abandoned in Gaydon.
Officers are linking this offence to an attempted burglary that happened two days later in Mollington near Banbury.
At 4.13pm on Tuesday, December 10, the victim, a woman in her fifties, saw two men attempting to break into her property through the back door. The offenders spotted the victim inside and ran to the front of the property and got into a black Audi A3 and left the scene.
Entry was not gained to this property and nothing was stolen.
The offenders are both described as being slim men, one around 6ft 4 ins tall the other shorter at around 5ft 11 ins tall. Both were wearing black clothing, white masks and black balaclavas.
Investigating Officer, Detective Constable Philip Rowles, based at Banbury police station said: "I am appealing to anyone who may have witnesses these incidents, or have dash-cam footage from around the area at the time to come forward with any information.
"We are particularly interested in locating the black Audi the offenders were seen leaving the scene in.
"You can make a report online or call 101 quoting reference 43190383031.
"Alternatively, if you wish to remain anonymous, you can contact the independent charity Crimestoppers on 0800 555 111."