The Bank of America app is a webview of their mobile site. It has excellent ratings, and is currently the #1 free app in the Finance category.

All that said, it's clearly not a native app. Transitions from screen to screen are slow, do not animate smoothly, and sometimes exhibit drawing problems.

The punchline: their app description announces an upcoming native app: http://itunes.apple.com/us/app/bank-america-mobile-banking/i...