You obviously have not looked at, or do not understand the statistics.
https://www.worldometers.info/coronavirus/#main_table
US has 3,003 deaths per million, which is way above UK, Germany and France. The number of cases per million in the UK is higher, but bear in mind that the rate of testing in the UK is about 3 times that of the US.
The booster rate in the UK as of yesterday was 67.4%
https://coronavirus.data.gov.uk/