LastPass is often the first name mentioned when people discuss password managers. Founded in April 2008, when the major contenders in end-user password management were RoboForm, 1Password and KeePass, LastPass works on virtually every operating system. On the desktop, it installs on the browser as an extension, so you might need to provide explicit permission to let it run.
LastPass automatically fills out forms, allows for import and export, and permits sharing of passwords through the Internet (a better alternative than using plain text email, which is insecure). It also lets you create and keep simple notes, generate complex passwords, and create a USB key using Google Authenticator Support.
The premium version of LastPass costs $12 a year, which buys you mobile support even for WebOS. You also get multi-factor authentication via YubiKey, which you use like a USB thumb drive. LastPass also offers a credit monitoring service that will send email alerts when your credit report is modified.
Finally, LastPass for Android has a custom input method that automatically fills in your username and password when you log into apps such as Facebook.
Price: Free for desktop, $12/year for mobile