This is the adventure forum so I'll confine myself to adventures.
Dreamfall
Sam&Max Season One/Two
The Lost Crown (with some reservations)
The Path
Machinarium
Edna and Harvey: The Breakout
Gemini Rue
EDIT: I forgot Overclocked. Also want to add Rhiannon and Barrow Hill. I love that type of game so much.
And the free fan remake of King's Quest III, what fun that was!