that's the start of a good list...
but you don't really apply for a NHS number. you register at the nearest GP Surgery, and you will get a card from the NHS area trust in the near future.
what else- if you're looking at long term living in the UK-
5- Apply for store cards to start gaining credit here in the UK
6- introduce yourself to your bank manager/vicar so that you can then use them on your naturalization form later on.
7- all the household things- gas/electric, water, phone, internet, cable (sky), tv licence,
#2 is the number that the inland revenue/her majesty's revenue & custom uses to track your working, tax paid, etc.
#3 is the number the health system uses to track you.
(andrea- i always wondered how i got a NIN w/o having an interview)