Jenny from the Webby Awards pointed out that there is a bank category in the annual awards for interactive advertising. 

The Webby Awards recognizes outstanding Interactive Advertising in 15+ single and campaign categories. An entry may be entered into multiple categories if appropriate. Entries in multiple categories will be reviewed separately for each category entered and may win multiple awards.

Source: Webby Awards

The awards are quite well known now and here are last years winners. 

The awards, hailed by the New York Times as “the online equivalent of an Oscar”, officially launched their Call For Entries last week.

Bank of America took home the top prize at the 10^th Annual Webby Awards, while sites from ING Direct, Washington Mutual, and Chase Blink were among the nominees.