All good reccomendations. There is an abundance of the genre but I really haven't played anything that got me the same way as MI 1. I'm sure a lot of that has to do with the age that I played it. I didn't even realize you couldn't lose and saved like I was always just about to. I didn't even get a lot of the humor.
Now that I do it contrasts largely with the in-joke/mythological references employed by the Quest games. That said, the Quest For Glory games got the story and world right. All the Kings Quest games are genius but also pretty reserved when it comes to humor. Its the opposite for the Space Quest games, I liked 6 the most. The Indiana games are great but I never finished them or got into the films. Obviously being Lucas they feel very similar to MI series.
I'm not big on walkthroughs and got stuck on the Dig quite a bit but it seems to have witty written all over it. It could be one of my favorites if I ever get around to finishing it. I'll say it is the only one since MI to give me the feeling of the cast being as important as the hero.
Bioforge is another inventory/story driven 3rd person game though in 3d. Its dark and not funny at all really but a great adventure game no less.
There is also a
Scooby Doo Mystery game for Genesis-Megadrive in style of MI or Maniac Mansion thats a pretty quick play.