A standard BB App which asks for a password is Password Keeper. I'm not sure if there are any other App which have a password prompt but you can try the other poster's suggestion.
Generally, the BB password prompt is used to lock the entire device rather than app specific.
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9700 Unlocked BES
App:5.0.0.979 Plt:5.1.0.177
8900 Unlocked BIS
App:5.0.0.822 Plt:5.2.0.76
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