We start right back at where we left off on episode 1, Elci introduces herself as Keima’s younger sister. The majority of this episode was based on Elci trying to get Keima to accept her as his younger sister. The left over time was used to introduce a new girl with a loose soul inside of her.
It seems Elci will be making the real complicated for Keima. Elci is bombarded with questions as soon as she claims herself to be Keima’s younger sister. Without thinking she says something embarrassing, she claims that all of the girls in the world will be chasing after him.
We are introduced to Keima’s mother, she seems to be very energetic and active, unlike a certain someone.
Well, this is odd, what happened to the angelic smile? First impressions are usually always deceiving, I guess. This is one of the twists we don’t usually see in mother characters. In the end they never actually said what her name was so we’ll just name her, Keimama. Also from this we can tell that she will be a supporting character, such as adding in comedy and such to the anime. I guess that’s natural since it would be awkward if the mom ever has a loose soul in her.
Keima’s standards for sisters are pretty extremely high, Elci’s going to have a tough time trying to make him accept her. Although this act also causes Keima to have a hard time too.
Keima has to eat a ridiculously horrible looking dish, and as usual the dish is actually pretty good. Or so you’d think, the after effects of the dish was a devastating trip to the bathroom. With this done, Elci has managed to clear 2 of Keima’s requirements. In the end, Keima accepts Elci as his younger sister but only because he claims that it would be easier to just accept her than to deny her.
Here is the new girl with a loose soul, Aoyama Mio, apparently to Keima she is an easy catch. He tries to get her to come out of her “iron maiden shell” by confessing and pays for it.
It seems Keima’s calculations was incorrect, he must of had missed something about her that makes her different from the other 300 girls he’s seen in his games. That something, is found out at the end of the anime. 
Maybe this was the reason why she has a loose soul? At school shes thought to be a super rich girl but she’s actually not rich. There are many things to ask but none will be answered until Keima makes a move in the next episode to find out why she has a loose soul.
Lastly
It seems that Keima’s not going to be solving each girls problems in only 1 episode, and every episode wont be about Keima making a girl fall in love with him. So if you thought that this anime was all about just making girls fall in love and no story at all, you are mistaken.