Two cops grill a suspect on a crime that he/she committed. The guessing part? The suspect doesn't know what he/she did. The audience provides a crime, an accomplice, and a place that the suspect escaped to.
The local news station has hired a brand new co-anchor to work alongside the veteran anchor, meteorologist, and sports person. The kicker? The latter of the three have a group quirk that unify them (provided by the audience). It's the job of the co-anchor to guess what makes this news team so weird.
Someone is giving a press conference on a world changing event without knowing what the event is (audience provides event). He/she tries to guess what the event is while answering questions from other troupe members.
Three party guests receive strange quirks (physical and mental) from the audience and enter the party as the host tries to guess what their quirks are, all while trying to be a good host.
Three contestants are given personality trait by the audience. The bachelor/bachelorette asks questions to try and figure out each quirk and pick the best (or least awkward) person to go on a date with.
A game for the holidays based on the premise that 3 children with weird audience-provided quirks have come to ask Santa for something for Christmas. Santa's job is the guess each child's quirk. Santa has an elf nearby to give clues if Santa just doesn't get it.
Similar to Santa's Lap, the premise is that sinners will be brought to Hell to sit on the Devil's lap and have him guess their sins. Some demon or goblin will be present to give Satan clues if he doesn't seem to be getting it.