On several websites and forums I have read that it is difficult for foreigners to open a bank account in their name in the Philippines.
Today I applied for one and there was no problem in getting one.
If other banks are that easy I do not know, but within 30 minutes everything was done. The only thing I have to wait for a few days is the ATM card. This needs to be made with my name on it and takes a few days.
So if you want your own bank account as an expat / foreigner, just go to a BDO branch nearby and just apply for one.