The suspect entered the store on Parliament Street on 8 and 10 September, and again on 4 October 2016.
Each time he was captured on CCTV in the fragrances department filling a large shopping bag with the items.
Enquiries have revealed that he was picked up in a silver Vauxhall Zafira people carrier that was waiting outside Debenhams.
If you can help to identify the man, please contact North Yorkshire Police on 101, select option 2, and ask for Daniel Walker. Or email Daniel.Walker@northyorkshire.pnn.police.uk
Information can also be passed to Crimestoppers anonymously on 0800 555111.
Please quote reference number 12160163478 when providing details about this incident.