@Akamira_Sami You should watch Persona 4 The Animation. It has all the Mystery,Action and more that you are looking for. Plus Persona 4 the Animation is really funny. Like beyond funny. You gotta watch this Anime. THis Anime as all the above in what you are looking for. Trust me your really going to like this Anime as your next Favorite. Also there is Persona 4 Video games you can play for the PS2,PS3,PS Vita and Nintendo 3DS. Don't worrie there is no order in which Persona series you should start cause the story line for each season is different with characters and story.
Here is the English Dub for Persona 4 the Animation.
link and here is the English Sub for Persona 4 the Golden Animation. Sorry there is no English dib for Persona 4 the Golden Animation.
link