I’ve had to deal with postcodes in too many countries (logistic company), and the UK system is by far the best: dense, standard, somewhat intuitive, code-correcting, specific enough (several dozen households) that if you have a delivery, the recipient knows where the van is standing angrily. Documentation is excellent (relative to the UK government's digital service already very high standards), and you have APIs for all sorts of relevant conversions.
The only issues are what OC mentioned: some people don’t know a large building (50+ flats) can have several codes, and they are weekly updates because… ::magic dust:: construction!
The worst? Dubai: three inconsistent systems of varying length without any sense, standard, or redeeming features. The city road network is apparently even worse, so I guess those things work hand in hand?
The funniest? One person once joked that people in Ireland were not using postcodes, just the name of the nearby pub, which can get confusing as they often have the same name, so you also have to say the name of the second nearest pub…
I thought was funny, but I wasn’t sure that was a joke. Apparently, that was still true at the time? I saw a lot of discussion about “Introducing PostCodes in Ireland” and avoided those meetings so as not to sound clueless. We used Google Maps for a while during the transition.