Here is the full list of all 14 Old Coin Pusher Friends achievements.
Complete the town, 町, set Lv1.
Complete the Shinobi, 忍, Set Lv1.
Complete the role, 役, set Lv1.
Complete the Nagare, 浪, Set Lv1.
Win the jackpot.
Put 8 or more coins in the pottery.
Complete the battle, 戦, set Lv1.
Complete the battle, 戦, set Lv30.
Complete the role, 役, set Lv30.
Complete the town, 町, set Lv30.
Complete the Shinobi, 忍, Set Lv30.
Complete the Nagare, 浪, Set Lv30.
Complete all sets Lv30.
Successfully defeat a demon.