Ryuugajou Nanana no Maizoukin

The 7 genius students, known as the GREAT 7, launched a project to construct an artificial island called Nanae Island to realize their leader, Nanana Ryugajo's peculiar idea.

12 years later, with a total population of 100,000 people with as much as 80% of those inhabitants being students, Nanae Island has successfully become prosperous as a special student zone. One of the island's newest residents was Jugo Yama -- a high school student who had just transferred to the island after being disowned by his father. One day, Jugo finds in his own apartment the earth-bound spirit of the late Nanana Ryugajo, who was murdered by someone 10 years ago! Jugo's plan of living alone was suddenly thwarted by this strange roommate.

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We got traps in maid outfits, game addicted ghosts, and a detective loli. With that said, I was fairly convinced this was going to be your typical harem but it totally isn't that and every character has something to bring to the table. Well. Maybe not the trap but w/e.