This is just so weird! I closed my bank account as I am moving away. I went prepared: I had two ID's with me, I had the bank card and I had all the readiness to answer any questions asked and sign any paper they give me. I expected it would take me maybe 15 minutes. I went by bus as I was on my way to the downtown anyway, so I would be able to take a transfer from my bank to downtown. If I took too long, then the transfer would not be valid as they change transfer ticket from morning to evening one. I was lucky that my first transfer took only two minutes, so I was able to get to the bank in about 20 minutes. I dropped of right across the bank and there was about five lanes to go across. I was a bit worried that will I be able to go across as there were quite a lot of cars. But it was worth the risk as the lights turned read and there was no cars coming from either direction, and I was able to go across (there was no lights where I was standing).
Ones I got in, there was very little line. I was the second person in the queue and once I got to stand behind the first person, he was asked to step forward. It wasn't long when my turn came (contrarily to Finland the teller asked me to step forward first and then went to put a paper away in the near by wall) and told what business I am there for. I gave the teller my bank card, so she would be able to locate the account, and then took my passport out. She asked why I was closing the account (and few polite questions about me moving back) and then how would I like my bills. That's it. I got my money and went out. I was lucky enough to catch the next bus, although it was full with people (just waved my transfer and hopped in through the back door.
So compared to what I experienced in Finland, the closing an account is really easy! You do not even need to show a proof that you are you.