This is great - a really clear summary! I can see myself checking back on this regularly. It's certainly a more positive stat to track than numbers infected / deaths.
I'd love to see a chart showing the number of people vaccinated per day/week, as well as the cumulative total - it would help interpret if the prediction made in the "UK vaccinated over time" graph is overly optimistic (i.e because last week was a dip in the numbers vaccinated) or pessimistic (more people are being vaccinated every week, so the curve will likely steepen)
I would also really enjoy reading a post going through how you made it - what tech you chose and how you're pulling the data from the NHS website. Although conceptually quite simple, I imagine there's some nuance to the implementation and if the tech isn't particularly exciting it's still good to read about pragmatic tech choices.