Riddle games are traditional in fantasy adventures, of course, but don't overlook the opportunity to use them in other settings as well. Imagine a cyberspace guardian program blocking the way into a black corporation's secret servers, which appears as a sphinx character and interrogates all comers with cryptic riddles in a virtual representation of password security.
Or an enigmatic alien who only answers questions about its background in circumlocutions that require the questioner to figure out the answers to riddles.
Or a supervillain who delights in setting riddles for the heroes to solve to track down the details of his next planned crimes...
Wait a second...
Luke: So let me summarise in my own words. You taunted the dragonsnake repeatedly from the shore and then he sank our ship?
R2-D2: They weren't difficult riddles! For an intelligent being.
Yoda: Sunk your ship is! Now we can be friends until 900 years old you reach! Ah ha ha ha!!