I acquired a Bank of America account (checking and savings) when I bought my first house 10 years ago, since my mortgage was through BoA. I have since sold that house. I kept the account open because they used to have a free notary, but now they have no notary at all. Then I was using BoA to stash my savings for a new house, to keep it separate from my other financial activity... but we just bought the house, so now there's something like $6 in my BoA account.
I don't use the account for anything now. I have both personal and business checking and savings accounts with Chase, and I have a credit union account in the town where I grew up just because my backup credit card is through there, and since I've had it since 2002 it's good for my credit rating (which I hope never to need again anyway).
I can't think of a reason to keep the BoA account. Can anyone else?