See i'm looking for a mystery anime like Death Note but not super deep. Also please do not include these in the suggestions
I like mystery with a dash of comedy but not too deep of a mystery.
Without consulting 'the list' I can think of~
I'll probably throw more up later.
Dusk Maiden of Amnesia def fits that bill. MAYBE Gosick?
After looking a bit through my list, i saw some animes that i liked. That have a mystery tag, im not 100% sure if you'd think these are mystery anime. But you'll probably find that out read the basic plot. So again, these are just suggestion that have a mystery tag.
Monogatari series (Bakemonogatari, Nisemonogatari etc.)
Monogatari series is more focused on heavy dialogue.
Hamatora a bit less on the mystery but more on comedy.
Mushishi has quite alot of mystery, but its really an anime that calms you down. And makes you think.
Shiki is a mystery/horror anime. It wasn't really scary or whatever but thats just a personal opinion.
I hope i could be of some help.
The above suggestions are good too.