In the past, in addition to BBVA, the no fee banks were. I think some of them may have merged:
Davidienda (withdraw up to 2M): Don't use USD conversion rate or accept fee
Servibanca (withdraw up to 2.5M): Don't use USD conversion rate or accept fee
ScotiaColpatria(withdraw 1.5M or 900k w/o 'Scotia account)
(I think those higher withdraw limits were specifically on Fridays and a little lower on other days.)
Like you said, many of them charge fees now.
Honestly, many people I know I stopped keeping up with ATM fees because it kept changing and it doesn't effect us. We'd like to avoid fees simply because we hate the practice. At least I do.
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RELAVANT INFO to your question:
It is not as important now since most foreigners eventually discover that they can just use a bank that refunds ATM fees, including international/worldwide.
Schwab/Capital One do this for sure. I think Chase may have some products that do this too.
Here is a list that seems up to date from what I can see.
https://www.nerdwallet.com/best/banking/best-banks-to-avoid-atm-fees
Not all of those do fee reimbursement internationally but Schwab/CapitalOne do. You can sign up for the Capital One and Schwab accounts online and fund them through your existing bank account. The article also points out that E-Trade works worldwide too. I have no experience with E-Trade.
I think Capital One was the easiest to set up. With Schwab you get free international checking by signing up for an investment account at the same time.
There was no annual/monthly charge for either and no min $ requirements on balances either too. Same with Capital One.
If anything above has changed, let us know. If so, my accounts must be grandfathered in because I NEVER pay fees. No annual/monthly. No fees on transfers either. I deposit all checks from my phone. The only thing that could be a pain would be a cash deposit, but I don't do those anymore so it is a non-issue.
If you need to do cash deposits, simply keep your old/legacy bank account and use this new account as your travel account/card only.
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SEPARATE NOTE ON INCREASED SAFETY WITH TWO ACCOUNTS:
IMO two accounts is a great safety practice too. Only keep enough in your travel account for a few days up to a few weeks max since transfers go through pretty quickly. Transfer FROM your main account TO your travel account. Basically your smaller travel account cannot initiate transfers. If you do get robbed/scoped/etc, all they will get access to is what is in your small account. Once the money runs out, it will not auto-draft from the big account.
I don't carry cards from the big account when I travel. I don't even understand how people can get robbed for 20k if they do this unless they are kidnapped and forced to call relatives. The criminals won't even know the other bank exists unless they can logon to your bank account and see incoming transfers, but hopefully your practice better IT security than this. Especially traveling internationally and engaging in this hobby. If your computer/phone are locked (not using bio-metric), you should be fine. They will just go by the cards you have.
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Finally, a quick note on reimbursements:
Sometimes a fee is not identified on the statement so some banks won't automatically reimburse you every time. You have to review your statement once it has posted. Usually a quick message will get it resolved. Save your receipt just in case.
