The three incidents, two burglaries and a theft, are thought to have happened on Sunday night or in the early hours of Monday.
A black BMW M3 car was stolen from a house in The Chase, off Racecourse Crescent after the offenders broke in and stole the vehicle’s keys.
Police Constable Lyndsey Howells, the investigating officer, said the car was seen being pushed off the drive by the thieves at around 2.45am on Monday.
Two stolen bikes were found nearby. They were taken from an insecure garage at Portland Crescent between 6pm on Sunday and 8am Monday.
And a bike was also stolen from the back garden of a home in Canon Street between 9pm Sunday and 8.45am Monday.
PC Howells said: “All three offences are being linked and I am appealing for witnesses who may have seen those responsible, or some suspicious activity which may be connected, to contact me at Shrewsbury police station on 101.
“Information can also be given to the anonymous Crimestoppers charity on 0800 555 111.
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