One is Capital Bank which has been offering a reward checking with a yield of 5.01% APY for balances up to $25K. I first reported on this 5.01% reward checking in April 2007. When I contacted the bank at that time, I was told that customers had to come into a branch to open accounts. I was told yesterday that you can now apply online, and documentation can be sent by mail.
The other one is TriStone Community Bank which offers the Money Max Checking. This has a yield of 6.05% APY on balances up to $25K. I first reported on this in February 2008. This has an online application, however, the first page of the application states that they're accepting applications from the following states: North Carolina, South Carolina, Georgia, Florida, Virginia, Tennessee. It's not quite nationwide, but it's a nice increase in coverage. This isn't on my nationwide list, but I did include this bank under each of these states on my list of reward checking accounts by state.
Unlike credit unions, banks seem to have a lot of freedom to decide which areas they can accept and if they're going to require customers to come into a branch. These policies can often change, so make sure you always check with the bank before applying.
To learn more about these reward checking accounts and for a discussion on their future, please refer to my reward checking account introduction.
Thanks to the reader who provided these updates in the comments.