jdramas that have similar genres (shounen, comedy, etc) as you mentioned above:
Saru Lock
Hammer Sesson!
Samurai High School
since you liked lovely complex, you may like Switch Girl!!, Nodame Cantabile, Koe Koi, or Otomen
since you liked the anime Hajime no Ippo, you may like the jdrama Holyland
since you liked Detective Conan, you may like Meitantei no Okite (a satire of the classic japanese detective dramas)
since you liked some mystery/sci-fi anime, you may like Nazo no Tenkousei
since you liked Slam Dunk, you may like buzzer beat, pride, or Ao no Jidai (this one is more on the serious/delinquent side rather than focus on sports)
since you liked Gintama and comedy in general, you may like Mr. Nietzsche in the Convenience Store