The current authentication method costed me loss of a critical transaction and time and money. This is unacceptable. Authentication by sms and/or phone call must absolutely be added, indeed, preferred. Below is what happened today (and the issue is still unresolved even though my identity has been authenticated). Yes, bunq still holds my account and I am not allowed to make any transactions until tomorrow. Why? What will have been changed until tomorrow? You already know that I am me. And tomorrow, I will continue to be the same person.
"First, bunq did not allow me to make a card payment; saying that "this is a new device" and I need to confirm my identity. That was not a new device, to begin with, that is my 'only' device. So, you failed me once. Then, I tried perhaps five times to confirm my identity. It never succeeded. Meaning that you failed me a second time. Afterwards, I confirmed my identity (back home) with my browser (lucky me). And I tried a money transfer. bunq asked me to confirm this transfer via the app in my phone (previously my unrecognized device). And said "I should update my app" even though it was updated. Anyway, I updated my app. Even then bunq did not allow me to confirm it without a warning message (such as "please check your transfer limit"). Failed me a third time. Then I myself anticipated that maybe I should check my transfer limit, checked it and raised it. Then I tried to do the transfer again. This time it said I can do it only 24 hours later. Failed me a fourth time. So, spending whole Friday afternoon to make a card payment and a bank transfer all I have now is a blocked account. Total failure. This is in no way unacceptable. You have already confirmed my identity and I am doing all these processes with my already known devices (the same browser and the same phone since the beginning). This should be solved now, not tomorrow."

A few seconds ago bunq send me a warning message saying that "We noticed a new device was used to log in to your bunq account: browser, IP address bla bla bla". This is the same device (same browser) that I am forwarding my complaints. Funny? Crazy? I don't know! It all started by not recognizing my phone which was and is the same since the beginning. This is absolutely bunq's failure and bung fails to admit it.

Thank you for your suggestion. I already communicated this issue with bunq in a detailed way. I am posting the issue here just because bunq recommended me to do so. This way, they say, bunq 'may' consider finding an alternative solution. I also hope that this would be helpful for people who had similar negative experiences.