Note: for what it is worth, I tried to open an account and got to the “Review and Sign” page and hit submit and the page goes nowhere and if you call to speak to someone, be prepared to be on hold for a while.
A new internet bank has launched from Goldman Sachs. Named GS Bank, the minimum to open an account is $1, interest rates start at 1% up to over 2% yield on certificate of deposits.
You can open an account in less than 10 minutes.
Some info on the savings account: