Recs.
Updated
KeePass is a free password manager that's available for Windows, with unofficial ports for other operating systems.
SpecsUpdate
Pros
Pro Customizable password records
Users may define any extra fields (eg. "Surname", "Credit Card No", "Start Date", "Expiry Date" and "Security No") and their values may then be easily copy-and-pasted when required. This is a great feature not found in a lot of password-managers: they leave you to consign such additional information to the "Notes" section.
Pro Works inside Android apps
There are variations in support of features, so this is dependent on the Android app being used. Keepass2Android is one that has built-in synchronization over ssh and other protocols, fingerprint support and plugins are also supported to a certain extent.
Pro Offers multiple sync options
Since the database is stored locally it can be synced across devices using a cloud storage service like Dropbox, Google Drive or via a file sync tool like BitTorrent Sync. KeePass v2 also provides a powerful built-in synchronization mechanism that allows setting appropriate level of sync, kind of sync, and choosing between a number of sync sources (Dropbox, Drive, etc).