The Honorary Freeman achievement unlocks when you log into the game a certain number of days in a row.
There are four stages of this achievement that you unlock on days 5, 15, 30, and 60. You get 1, 2, 5, and 10 Township Cash respectively for completing each stage. Once you've completed the last stage (meaning you've logged in 60 days in a row), you'll get a special profile picture as a gift.
The first number on the achievement bar shows your current consecutive log-in days.
PLEASE NOTE: The counter resets if you miss a day.