First of all,thanks for the helpful list...much appreciated.
Can you open any of these bank accounts without any verification, e.g Postident or Videoident ?
I don't think that you can open bank account without any verification. Banks need to follow their country laws and they need to ask verification from users. At least you will be asked to send passport or ID scan. Some banks have additional video verification.
not all banks account online require verification, i think many have a certain threshold and under this threshold you have not to declare your personal informations, what you say is true when they ask verification in the case you move more than $1k because of money laundering