My US state has not had high case or death rates and we came out of lockdown gradually last June and kids have been back in school since Sept. The things that I think made a difference...
We shut down earlier than the UK. Even before the state government ordered lockdown they'd started requiring things like masks, social distancing, etc.
The governor followed the advice of the state CDC throughout, and was supported in doing so by the legislature.
The federal government put financial systems in place early on to support people who lost their jobs or couldn't work because of Covid.
We were initially not allowed out to many public places (eg beaches and state parks closed) but they soon realised that it made more sense to allow people to outdoor places. There was never any restriction on how far you could travel for exercise.
Masks. They were required indoors from March. They've been required outdoors for several months. Required to be worn by everyone in school once it reopened, including teachers and all students other than those with a SEN.
Schools that don't have enough space for desks to be 3' apart have gone back on a hybrid basis. Because all students are provided with laptops/iPads by the schools, this has been possible. Also schools have had a lot of extra funding from the various Covid stimulus bills.
Easy access to testing from last summer onwards. No having to have particular symptoms to qualify. Lots of people got tests just in case.
Tourists can't fly in from Europe, which has helped keep Covid variants out.
We've had restrictions on tourists coming in to the state - they can't rent houses/hotel rooms without quarantining or providing evidence of negative Covid test.
Universities reopened very cautiously, with masking by everyone, strict rules about mixing, and mostly online learning.
At this point more than 35% of the population is fully vaccinated, and 25% is partly vaccinated. People are getting their vaccines at the correct dose intervals, which will help reduce the development of variants.
Our restaurants opened up carefully eg outdoor dining first, then indoor dining with distancing. They did not reopen bars because it was obvious that people who are out to drink and party are not going to distance.
Our cases did rise after each holiday (Thanksgiving, Christmas, Feb break) so we're not doing perfectly, but I'm glad to be here - it's felt like a good balance of economy and saving lives.
Watching the UK, it looks like it swings wildly from almost no restrictions to fully locked down. Schools being fully reopened with no masks. Eat Out to Help Out. Pubs reopened. Foreign travel allowed throughout the summer. Lockdown is too late each time. Lack of masking in public. Restricting testing only to people with specific symptoms. Inept government running systems like track and trace. An underfunded health system that has no spare capacity. A vaccine rollout system that potentially will create more Covid variants.
And then total lockdown again.