It took a while to get going, but once the infrastructure was in place South Korea has made quick gains getting their population the COVID vaccine:

Nine out of 10 South Korean adults have received at least one shot of COVID-19 vaccine, helping the country to get closer to a goal of creating herd immunity, the health authority said Tuesday.
A total of 39.7 million people have received their first dose of COVID-19 vaccine, accounting for 77.4 percent of the country’s 51.3 million population or 90 percent of those aged over 18, according to the Korea Disease Control and Prevention Agency (KDCA).
The number of fully vaccinated people stood at 27.2 million, or 53 percent of the total or 61.6 percent of the adult population, the KDCA said.
Health authorities expressed optimism that the country will be able to fully inoculate over 70 percent of the population by the end of October thanks to people’s willingness to get vaccinations and smooth vaccine supplies
Yonhap
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