Anywhere in the Philippines with fee-free ATMs?

As of May 2016, I used my Fidelity Check Card in every ATM, from the local ones to those of foreign banks. So far, the only ATM that didn't charge a fee was the HSBC ATM. For reference, I used the one in Greenhills.

In regards to changing currencies, the best rates in the entire Philippines are in Greenhills within Manila. Only use the money changers that are independent. Quite often, they will have higher rates than the official international rate, due to following black market rates (.01P to 2.00P on average). My personal preference is the green booth in the corner of Unimart because they always have a lot of cash on hand for large transactions. When going to Greenhills, in particular the counterfeit areas (the centre is separated by legitimate outlets and rows of knockoff stalls), just watch your belongings like anywhere else.

EDIT: For those calling to change money in advance (I'm assuming departing from Western countries), airport kiosks and banks in the United States will rip you off hand and foot on conversion rates for any currency. Looking at their margins, many make a comfortable spread of nearly 10% from the official rates, always in their favour. For traveling in general, only convert, at the absolute most (in the case of the Philippines and countries like it, $50) from a bank or airport kiosk. You will always find a better rate in town. Even if you can't find a money changer, that effective "2% tax on withdrawals" is better than the 10% the convenient options charge.

Source: Family in Manila and I travel to Manila every year.

Bancnet is the local ATM network in the Philippines, it also does on-line payments, and a bunch of other stuff -- see the link. There are a few other networks but Bancnet is by far the most common.

I have never seen a machine that doesn't charge the 200 PHP for foreign cards although I can't find anything that says this is mandated by Bancnet, it may be just an agreement between the banks. I strongly doubt you'll find a machine that doesn't charge it -- it would need to be an international bank that's directly connected to their network and that seems unlikely in Bohol given it's not in Manila. There's some discussion on-line that HSBC doesn't charge that fee but that doesn't match your experience.

All ATMs are limited in the number of notes they can dispense and have transaction limits along with daily limits. If you're using a local card you might be able to take out as much as 40000 in a transaction if you're using a card for that bank (i.e. PNB link) -- but even then I've seen machines limit transactions to 10000 PHP when they apparently shouldn't.

With a foreign card you'll almost certainly be limited to transactions of 10000 PHP and a daily limit imposed by the card. If you can find an ATM from the same bank as your card you might be able to get more -- I can't find anything definitive.

So, minimizing the loses is difficult. But really 2% isn't that bad -- I'm struggling to think of a cheaper way. If you're making large transactions then using a credit card might be better. If you plan to spend a lot and stay a while you could look at getting a pre-paid card (they're easy to get as they have to be funded and the bank has no liability) and funding via wire-transfer. But that's probably going to be more expensive unless you're going to transfer a lot (and I'm not sure it'll be cheaper).

EDIT: Of course, the best choice to avoid this is to change enough money before travelling to the Philippines (shop around to find the best rate where you are). Note that you're technically not allow to bring in more than $10,000 of foreign currency or 10,000 of local currency. Local exchange rates are pretty bad so changing before coming over is a good idea.

Also see this question for more general discussion on reducing charges.

I withdrawn money at Metrobank ATM on the Boracay Island with a MasterCard form an European bank (and in a few other places in Philippines too), and was never charged any more then I was withdrawing by the ATM operator. I checked in the bank account history too right now just to be sure, the bank lists how much I was charged in the original currency too. I was usually withdrawing 9900 PHP to have some smaller bills.

The bank I used does not refund ATM fees, so that's not the case.

This was February 2016.