Here is the full list of all 17 Tavern Master achievements. It takes around 15-20 hours to unlock all of the achievements on Windows.
Build a hotel room
Unlock the second floor
Have one food dish on 5 stars
Have a bar with all barrels purchased and filled
Level up an employee to level 10
Unlock the kitchen
Unlock the third floor
Unlock the fourth floor
Finish all of the researches
Do an event for the king and the queen
Have all food on 5 stars
Have a successful adventure which had less than 30% chance to succeed
Reach the last reward from quests
Have 30 employees
Have 100.000 coins at once
Have a 5 star hotel room
Have all 6 historical paintings