There is a chicken pox vaccine, though I don't know if it's used in the UK - it was developed in France, and is now common in the US.
(I got it as an adult, see my other comment.)
For TB - I know the UK does it, but the US doesn't. Negative TB tine tests (i.e. a skin reaction test to see if you have it or not) are a common requirement of people working in schools and some other jobs in many states. (I had to do one when I worked at my former college, even though I'd just graduated from the same place a month or two earlier.)
My mom had the TB vaccine as a child in the UK, and kept having to do more involved proof that she didn't have it (as the vaccine makes the tine test come out positive.)
no subject
(I got it as an adult, see my other comment.)
For TB - I know the UK does it, but the US doesn't. Negative TB tine tests (i.e. a skin reaction test to see if you have it or not) are a common requirement of people working in schools and some other jobs in many states. (I had to do one when I worked at my former college, even though I'd just graduated from the same place a month or two earlier.)
My mom had the TB vaccine as a child in the UK, and kept having to do more involved proof that she didn't have it (as the vaccine makes the tine test come out positive.)