No, there is no updated web browser for the BlackBerry. Contact RIM if you want, but I would't expect much. All mobile device browsers are slimmed down versions of what you can expect to get on a PC. Have you tried
Opera Mini? Maybe it will work.
If you want to complain to someone, complain to your bank and ask for mobile compliant access to their site. I doubt that will get you anywhere either. Your bank is more concerned about the security of the site vs gaining access on a mobile device. This is coming from someone who spent the last 5 years working in IT at a large bank.