Dime Savings Bank is currently offering a 3.10% APY 7 year CD and a 2.5% 5 year CD with a minimum deposit of $500. Early withdrawal penalty is quite steep, however - if you withdraw early you'll lose 2 years interest.
Dime is currently the long term CD leader, but they’re also offering a 1.65% APY 10 month CD. You can open an account online or over the phone; however, if you don’t open an account in person you will be required to send in a copy of your driver’s license and a bill to verify your address. Dime Savings Bank is located in New York. This is only available to residents of New York.
Dime Savings Bank has a 4 out of 5 star soundness rating from Bankrate and is insured by the FDIC.