I see a lot of banks offering rewards checking accounts (maintain the account in an active status by doing x transactions/month,direct deposit, paper less statements etc, in return you yearn high apy. apy varies month to month)
I see a few of them here
http://www.depositaccounts.com/checking/reward-checking-accounts.html
http://www.bestcashcow.com/bank_rates/best_reward_checking_account_rates.html
Are interest bearing rewards checking account FDIC insured ?