Hmm i really dont know banks that is bitcoin friendly or banks that let you do transaction under them using bitcoins.But here in philippines we can cashout our bitcoin and convert it instantly from (PHP) which is our local currency here.We can cashout in each bank that is listed thats more likely 5 banks.
Yep, it's Coins.ph (or Rebit I think and other services) in the Philippines, but I think it operates more as a separate entity partnering with several banks in order to use their "bank services". Don't know how they got those deals, maybe it has to do with the fees, but naturally I think banks would be against Bitcoin since it kind of allows people to side-step them unless they get something really big out of it. (with the recent news of legitimization in the Philippines, it just affirms more of the acceptance of Bitcoin in the macro but I don't think it means banks will have to)