KeePass or KeePass X. But keep in mind that not having cloud storage also means you have to worry about syncing yourself. And if your solution is to sync the database as an amorphous blob, you can basically kiss multi-user access goodbye.
KeePass 2 has built in synchronization functions.
But I have to admit that I never tried using it because I keep my database stored on a pen drive which I take with me if I know I need my stored passwords.
> KeePass 2.x features a powerful, built-in synchronization mechanism. Changes made in multiple copies of a database file can be merged safely.
> After synchronizing two files A and B, both A and B are up-to-date (i.e. KeePass saves the merged data to both locations when performing a synchronization).
