Here is the full list of all 26 Dusk Pub achievements.
Welcome to Dusk Pub
Character favorability reaches 5
Unlock all girls
Accumulate total store expenses to 200,000
Pub level reaches 5
Defeat Kasumi Shinonome
Defeat Hellis
Defeat Potius
Defeat Darkwell
Use 'Devil May Cry' once
Accumulate recruitment of branch employees 100 times
Accumulate recruitment of S-rank employees 30 times
Open branches in all regions
Open branches in all regions and upgrade to maximum level
Kill 1000 slimes accumulatively
Pass 'Save the Civilians' within 35 seconds without hitting civilians
Complete 'Shiu's Alchemy Recipe' for 12 rounds without any mistakes
In 'Luna's Great Adventure', fly a single distance of 2000 meters