https://www.aamva.org/jurisdiction-data-maps#anchorforreciprocitymap
As an update, looking at the map there are a few other countries that have reciprocity agreements with at least one state. The updated list includes Canada (or select provinces), France, Germany, Japan, Taiwan, Mexico, UAE, Switzerland and/or South Korea. Note that no state has agreements with all of these countries, and some states have no agreements. Some of these countries have agreements only with one particular state.
Also note that any immigration requirements to get the license must also be satisfied in states that have those requirements.
Every province of Canada appears to have reciprocity agreements with the UK.