Just finished doing most of what the game currently has on offer for the first time. Very good. The writing does a great job of emulating the style from the books/anime, especially the dialogue. The exploration and combat is fun. I was initially impressed at how functional it was when 1 of your party members can only use her skill once and another can't hit anything, and only grew more impressed as I began leveling up and upgrading/unlocking skills and party members.
I don't have many issues, but I'd like to echo kenshin135's thoughts on the timeslots. I think it would be nice to have a day/evening/night structure (since Kazuma wouldn't get up in the morning), be able to search the alleys at night, and also if rain were less restrictive Like, maybe you could still do outside activities, but they're less effective and you get a combat debuff for adventuring in the rain?
All in all though, I very much enjoy this game.