Bank of America is currently running a promotion with their checking account:

Quick Steps to $75:

Open your new MyAccess Checking account online with offer code CH75TAD
Fund your new account with $25 within 30 days
Receive your $75 within 90 days of account opening

You will receive your $75 credit to your new account within 90 days of opening […]

Citibank currently has a promotion with a $150 bonus in gift cards if you open a checking account and complete the qualifying activities.

To qualify for the 16,000 bonus ThankYou Points offer, you must open a new qualifying […]

You can exchange 17K AA miles you get from UFB Direct for a $100 BestBuy gift card or a gift card for many other stores via Points.com. Of course you can keep the frequent flier miles and apply them towards a ticket as well.
Get the following miles rewards from Union Federal Bank:

1,000 - Open […]

I found this post over at budgetcents.net:

I stopped off at Citibank this morning to pay my Home Equity Loan and saw a promo card at the counter for $200 free when opening Checking Account. Unfortunately Citibank only allows one bonus per person per lifetime and I have already used mine on a similar promo to […]

State-Investors Bank in Louisiana is giving-out bonuses of up to $100. A one-time $25 reward will be given for each repeating direct deposit and/or repeating automatic draft established within the first four months of opening a new checking account. Customers can earn a maximum bonus of $100.
To qualify for the reward, customers must open a […]

Members who open a new checking account at Patelco Credit Union with a $100 minimum monthly direct deposit can earn a $50 bonus. The bonus will be deposited into the checking account after three months of direct deposit activity.
Patelco Credit Union’s Free Checking and Interest Checking have a minimum deposit of $10 to open. The […]

 
Metropolitan National Bank is giving out $200 for every new customer that signs up for a checking account through their bank.  According to the bank’s website, the deal is open to all US residents.
Metropolitan National Bank’s free checking account includes the following:
FREE direct deposit
FREE online banking
FREE online billpay
Here are some of the terms and conditions:

Free […]

You can currently get up to $225 in bonuses from Chase Bank. Here are the three bonuses:

$125 bonus directly through their promotional page
$25 through their refer-a-friend program
Applying for a Chase Debit card and getting 10% cash back on all purchases (up to $75)

Here are some additional details on the checking account:

The checking account requires $100 […]

Meriwest Credit Union is offering up to a $100 bonus when you initiate Direct Deposit and sign up for and utilize online Bill Pay. You’ll receive $50 for initiating Direct Deposit of over $1,000 per month and $50 for making at least two Bill Pays made within a 60 day period. Payments must be made […]

KeyBank is currently running a $100 bank checking promotion if you open a checking account by 4/25/08. You must make two direct deposits or automated payments of $100 or more. Upon completing the requirements, you’ll receive a $100 MasterCard gift card. Here’s some of the details of this bank deal:

 Qualifying checking accounts include Key Express […]