Requirements for a true LastPass replacement
In no particular order:
1) Ease of use.
2) 2FA including Google Authenticator for smartphone use and Yubikey for desktops/laptops/tablets that have a USB port.
3) Cross-platform (Win, Android, iOS, OS X, Linux)
4) Ability to install Chrome extension without administrator privileges on office workstation (Windows environment).
5) At least as secure as LastPass (obviously).