Mystery of Time and Space (MOTAS)
And since neither of these games are new, I'll leave you with two today in case you have seen one or the other already. The next game has been recommended so many times that I am posting a link to it without reviewing it since I still haven't played through it myself... you're on your own with this one.
Mystery of Time and Space is a point-and-click escape-the-room game that's been around a while. Created in 2001 by Jan Albartus, the author has updated the game several times since then by adding new rooms. And, so far that I have seen, each room features a fresh new soundtrack to keep you company while you solve its puzzle. So, the objective is to simply escape each of the rooms.
In case you get stuck, there is a Java chat applet built into the game window that pops up so you can chat with others who are also playing the game. So, what are you waiting for? Limber up those point-and-click fingers, you're about to embark on an epic classic.
Thanks to Capuchin, Steve, Nick, and everyone else who suggested this game.