My experience is to do some research, I looked at Bangkok Bank, it stated you needed one of 3 proof, 1 was letter from Embassy, proof from Doctor, or drivers licence with your photo.
And proof of address.
When I went to a local Bangkok Bank, I was told to come back tomorrow to see the manager, when I returned there was no manager there and no appointment.
I was then told again to get a letter for the embassy, however I stood firm and said that this is not a letter from the Embassy. and finally was granted an account.
The bank was in Prathum Thani in Future Park.
