I found these dramas that fit your question.. but i haven't watch any of this..but for sure i will:-) Ekiro Gonzo - Densetsu no Keiji Honboshi Jiu Joshi Deka Koshonin 1 & 2 Kuitan 1 & 2 Maid Deka Ogon no Buta Oretachi wa Tenshi da! No Angel No Luck Q.E.D. Sengyou Shufu Tantei ~Watashi wa Shadow
also.. -HERO -puzzle -orthros no inu -ryusei no kizuna (is it?not detective, but they're investigating) -trick -voice -control
there's also: LADY~Saigo no Hanzai Profile~ (criminal minds like) Mikeneko Holmes no Suiri
No, they're not. But I'm going to check all of them now, too, because I love detective Dramas. xD
Maybe the trick series? They aren't really detectives but they act like them - figuring out the mystery? or for a bit more fantasy/sci fi maybe mop girl? Again not a detective but she does figure out the mystery?
The Quiz Show season 1 [why do you have only season 2?]
Majo Saiban

Both are not detectives, but mystery solving aspect applies.
This is probably why genre should be implemented.
Mirichan wrote: Perfect report is a "detective Drama "too..


I also vote for Perfect Report. I don't hear many people talking about it, but it's a good "crime solving" drama.

Others:
Guilty Akuma to Keiyakushita Onna
Maid Deka
Orthros no Inu
Reinoryokusha Odagiri Kyoko no Uso (Like Trick)
W no Higeki
Yukan Club (very silly, HS idol drama)
Naniwa Shonen Tanteidan
There are the followings: But I didnt watch all of them :P Bloody Monday --> somewhat is considered detective xD Death Note --> Could be considered detective Furuhata Chugakusei Kami no Shizuku --> it is not about a crime, but he uses he skills to solve some puzzles :/ Kurosagi --> a swindler who uses his intellegence to destroy other swindlers, he needs to gather everything about them and manipulate them kindaichi shonen no jikenbo kyuuketsuki densetsu satsujin jiken Galileo saikou no jinsei no owarikataending planner --> I didnt watch this yet, but the summary tells me thatit could be considered a detective drama SPEC Hope I helped :D
There's this list, too. :)