Well, my favorites of these are made by Germans, so I don't know if there's and English version and thus if you ever heard about it. It's called Ankh. You're a young Egyptian by the name of Assil. Quite a rascal he is!
It's a series of games, made by Germans, but I think there are English versions too.
Another game series like that is Simon the Sorcerer. That's very cute too. So far I've played only one of these, where Simon's girlfriend is kidnapped by Aliens.
On this screenshot the aliens are trying to get in and Simon has to find a way to get out of the room. As I said, you must collect things, combine them in special ways and/or use them on things in the room. Mostly it's quite logical what is required to do, but often you just don't know it and have to try things out and ponder what you could do. Afterwards the solution is always logical, lol.
There are other games like these, but I liked them most because they are very funny. The conversations are hilarious.