Yeah, Im thinking of trying too. Basic due diligence gives that City Bank has 133 branches and was founded in 1983, so it's not a fly by night operation. Their app even has 4.4 stars on google play.
Im wondering though if one gets a debit card. In the FAQ it says:
"4. What type of account can a customer open?
A customer can open a Fixed Deposit account in foreign currency (USD or EUR) under this program.
12. Can a customer open a Fixed deposit account without opening a current account?
To open a Fixed deposit account, opening a current account is a mandatory︀ requirement.
17. Can a customer avail Credit card or Debit card against OBU account?
Since the OBU account is opened for the purpose of Fixed Deposit only, the bank will︁ not issue any debit/credit card against this account. "
Ok, so an OBU account is︂ fixed deposit account without card, but to have a fixed deposit account one must have︃ a current account, and I assume a current account comes with a card.