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