Short prologue OVA, bundled with manga volume vol.10.

Elsie receives from Dokurou Skull, hell's branch chief of "counter measures", the task to go on earth and capture evil spirits that have escaped from hell.

Keima is a dating champion who renders cute girls powerless with his irresistible techniques. Unfortunately, Keima’s only victories are in video games. But his skills are about to be put to the test when he accepts an invitation in a strange email, and the overly cheerful demon Elsie appears before him! Now, Keima is locked in a contract with Hell, and he must use his “talents” to capture the hearts of girls who have been possessed by lost spirits.

[Source: Sentai Filmworks]

Keima and Elsie are back in search of more lost souls! This time Keima’s capturing skills will be facing their biggest challenges yet as he attempts to woo both a fiercely beautiful upperclassman and a hot new student teacher. When Elsie’s demon classmate appears, they’ll need her help to take down an evil spirit running amok— if it doesn’t manage to get to her first! With another round of beautiful ladies that need romancing, Keima will need all the right moves if he wants to “capture” them.

[Source: Sentai Filmworks]

Eli, Chihiro, and Miyako try to form a band but end up looking to Katsuragi for help. In the process they meet Kanon and become friends/ rivals.

[Source: Anime News Network]

It is summer break and Keima intends to spend all his time on video games. An old acquaintance, the timid girl Tenri, comes back into the neighborhood - and apparently has a lost soul inside her. It is up to Keima and Elysia to unravel the secrets of her heart.

[Source: Anime News Network]

Kanon spin-off OVA bundled with vol. 22 of the Kami nomi zo Shiru Sekai manga.

Dating sim champion Keima has more than proven his abilities in the real world after capturing the hearts of 14 girls, and freeing them of the stray spirits lurking within them. But when a goddess possessing Keima’s neighbor, Tenri, appears with a mission, Keima’s going to have to revisit the girls whose hearts he stole in order to find her five sisters and restore their powers. Meanwhile, a mysterious organization lurking in the shadows threatens these unsuspecting girls’ lives!

[Source: Sentai Filmworks]