From July 1st, 2021 Phuket is open to vaccinated visitors without 14 days quarantine. Like everything in Phuket, there are unique requirements around the "sandbox" and these change regularly.
Click here for the Amazing Thailand Safety and Health Administration information on arranging your travel.
In addition, this site is also helpful for arranging your travel. This is an independent Visa company and is not the Thai Embassy but has practical information.
Please contact your closest Royal Thai Embassy or Consulate for the latest information before you finalize any travel.