This is arguably the most important Part Time Hero quest in the whole game, as it comes with a 2 million yen reward. Since Chapter 12 requires you to raise 3 million and only bothers to provide the first million via an expensive watch you can sell, Kapture The Kappa is even more important.
To complete it, you’ll need to find the ten Kappa statues around the city, and photograph them with Kasuga’s camera on his phone. You can photograph them in any order.
The first statue is, for some reason, upstairs, hidden in the cupboard of your room in the Survive Bar.
The second statue is in the window of a building near Hamako’s place, beneath a green awning. It is right next to one of the Part Tim Hero report stations.
The third statue is by the river, outside the can collection minigame.
The fourth statue is in the white food truck near Dragon Kart at the back of the Park.
The fifth statue is in Chinatown, near the pharmacy. The roads make an X in Chinatown; it is along the lower left line of this X.
The sixth statue is behind the batting center in the north west corner of the map.
The seventh statue is in a elevator across the road from the Poppo outside Jinnai Station.
The eighth statue is upstairs and across the alley at Fukutokicho. You will need to zoom the camera in.
The ninth statue is behind the green fence around the back of the Love Magic store.
The tenth statue is upstairs behind Zhou Long Distribution in Koreatown. If you go here during Chapter 12 itself, you will have to fight three tough enemies, so come prepared with full HP and MP.