Here is the full list of all 23 Hero and Daughter+ achievements.
The town reach level 100.
The Village reach level 100.
Reach level 999
Beat the bounty creature from the otherworld.
Beat the secret bounty on the head of Maou
Beat level 9999 of the Challenge Tower.
Beat the monster house monster over level 100.
Complete Hans story
Complete the soldier story.
Have over 1 Million G.
Participate in the economy of the town.
Complete Heiti story
Go to the hot spring with a girl.
Beat king Maou.
Beat level 1000 of the Challenge Tower.
Beat level 100 of the Challenge Tower.
Beat the Demon.
See the special illustration for a love event.
Beat the Dark Lord.
Participate in the economy of the village.
Take possession of my home.
Summon a girl for the first time.
Ralph become level 1