Chrome asks for password to unlock keyring on startup

The easiest way to fix that in the launcher is to copy the .desktop file to your home folder and edit it (chromium users should copy the appropriate file):

cp /usr/share/applications/google-chrome.desktop ~/.local/share/applications

Then edit the new file such that the Exec line reads like this:

Exec=chromium-browser --password-store=basic %U

If you have any other Chromium app installed, their .desktop files should also be in ~/.local/share/applications, edit them accordingly.