Best Practice

So our company has gone through a number of changes and employees that are no longer here originally setup a lot of our computers/contacts that we manage. Currently we do grant easy access to allow the user that setup the connection to connect at anytime without a password. However we have other employees that need to access those systems at times as well, but are routinely asked to input the password (if they are not signed in using the original "grant easy access" account).


What is the best practice for setting up unattended access that ALL users in your company can have access to?