>>715435149
Oldies but goodies:

Everything that LucasArts from Loom and later (Loom is dated, but you have to experience how unusual it is)
Goblins 1, 2 and 3
Neverhood
Syberia 1 and 2 (ignore later games)
Toonstruck as already mentioned

More modern ones:
Sam & Max (Telltale)
Samorost 1, 2 and 3 (and really all of Amanita Design's games)
Primordia
Fran Bow
Some years ago I would've recommended Deponia, but it went downhill towards the end so hard