It didn't take an intricate story or fast-paced action to set the LucasArts games apart from the competition. It was how simple, yet outlandish the plots were. 15 years later, I can still remember using a crowbar to remove a coin from the ground that was stuck there by chewing gum in Day of the Tenacle, or Ben Franklin naming a sandwich after a main character (Hoagie). I remember SCUMM games much in the same way I remember the plots of my favorite books I read as a kid. For me, they were much more like interactive novels or comic books than they were like video games. I remember Full Throttle, Dig, Loom, Monkey Island, and Day of the Tentacle in a very different way than I remember the other video games I played at the same age (Final Fantasy, Link to the Past, Super Mario World).
If you haven't had a chance to play any of these wonderful titles, I would highly recomend you grab the ScummVM and play some of the freeware titles (even if they aren't LucasArts): http://wiki.scummvm.org/index.php/Where_to_get_the_games.