Zork (arguably Colossal Cave Adventure deserves the nod here but Zork has votes already)
Secret of Monkey Island
Grim Fandango
Telltale's TWD
Ace Attorney should be here but y'all couldn't behave. Also I've always thought of Myst as more of a puzzle game but admittedly it straddles the line.
"You're childish. What are you getting? Are you getting strawberry? Ha! That's such a childish flavor, only children eat strawberry."