Exemptions include most of Europe, the Caribbean and Canada, as well as number of countries in the Asia-Pacific region, including Australia, New Zealand, Singapore, Japan and Hong Kong.
The US, China and Russia are all absent, as well as all of Africa, with the exception of Reunion, and all of Central and Latin America.
Mainland Portugal is also absent, but travel to the Azores and Madeira will be exempt.
In total, 67 destinations are exempted.
"From 4 July, our travel advice will change, with exemptions for travelling to certain countries that no longer pose a high risk for British travellers," said the FCO on Friday (3 July).
"We are monitoring the international situation very closely and keeping this advice under constant review so it reflects our latest assessment of risks to British people.
"We take a range of factors into account. For coronavirus, this includes the incidence rate and the resilience of healthcare provision in each country."
The exemptions are as follows:
Europe
- Austria
- Andorra
- Belgium
- Croatia
- Cyprus
- Czech Republic
- Denmark
- Estonia
- Finland
- France (overseas territories of France are listed separately, where included in the exemption)
- Germany
- Gibraltar
- Greece
- Hungary
- Iceland
- Ireland
- Italy
- Latvia
- Liechtenstein
- Lithuania
- Luxembourg
- Malta
- Monaco
- The Netherlands (not including the constituent countries and special municipalities located in the Dutch Caribbean)
- Norway
- Poland
- Portugal (only The Azores and Madeira)
- San Marino
- Serbia
- Slovakia
- Slovenia
- Spain
- Switzerland
- Turkey
Americas
- Antigua and Barbuda
- Bahamas
- Barbados
- Bermuda
- Canada
- Cayman Islands
- Dominica
- Grenada
- Jamaica
- Martinique
- South Georgia and the South Sandwich Islands
- St Kitts and Nevis
- St Lucia
- St Pierre and Miquelon
- St Vincent and The Grenadines
- Trinidad and Tobago
- Turks and Caicos Islands
Asia Pacific
- Australia
- Brunei
- French Polynesia
- Hong Kong
- Japan
- Macao
- Malaysia
- New Zealand
- Taiwan
- Thailand
- Singapore
- South Korea
- Vietnam
- Wallis and Futuna
Africa
- Reunion
Antarctica
- British Antarctic Territory
"All our advice will remain under constant review to take into account the latest situation in each country," the FCO added.
"These countries have been assessed as no longer presenting an unacceptably high risk to British people travelling abroad.
"Foreign and Commonwealth Office travel advice is based on risks to British nationals, including in-country public health assessments."