Kenryoku_Maxis on 24 March 2010
I would say, go back and play all the LucasArts SCUMM games. The original 'Adventure' point and click games. They do not have the 'brain teaser' aspects (word puzzles and such), but they're more focused on using items and visual puzzles on the screen to progress through a story. Sort of the secondary aspect of the Professor Layton games aside from the main Puzzles.
TellTale is a company that is currently making a lot of these types of games, but thoe older LucasArts SCUMM games are the most famous. Stuff like Indiana Jones and the Fate of Atlantis, Sam and Max hit the Road, Maniac Mansion, Day of the Tentacle, Full Throttle, The Dig, etc.
Six upcoming games you should look into:
