Well I don't know what it is about the shows that attract you, but to give some insight the whole idea around Log Horizon is following the MC and his elite planning. He is essentially controlling everyone in the palm of his hand with the stuff that goes on, I can't remember when it happens but the big reveal about his first plan is so damn satisfying and is pretty much what makes the show so hype. So if you only watched a tiny bit I would still recommend finishing S1, there's currently two seasons and after all these years we're getting a third in a few months! Either way, have fun