Bad Cop, Worse Cop
Two cops grill a suspect on a crime that they committed. The guessing part? The suspect doesn't know what they 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 (For instance, they are all obsessed with deli meats.). It's the job of the co-anchor to guess what makes this news team so weird.
One Signal gives a press conference on a world-changing event, provided by the audience, without knowing what the event is. They try to guess what the event is, while answering questions from other troupe members which give clues as to the nature of the event.
Someone has died! Oh no! The good news is that one of the lovely Mixed Signals will give a stirring eulogy to the recently-departed (can be real or fictional, and is provided by the audience). The bad news? The Signal has no idea who that person is. The rest of the Signals, sitting in the audience, help the Eulogizer along by shouting "Hallelujah!" when the Eulogizer says something correct, and shouting "HELL no!" when they say something incorrect.
A Signal is hosting a party! Three other Signals, the guests, receive strange quirks (physical or otherwise) from the audience and enter the party as the host tries to guess what their quirks are. All as they try to be a good host.
Three Signals are given personality trait by the audience. The Single Signal asks questions to try and figure out each quirk, and pick the best (or at least the least awkward) person to go on a date with.
A game for the holidays, based on the premise that three children with weird audience-provided quirks have come to ask Santa for something for Christmas. Santa's job is to 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, except sinners will be brought to Hell to sit on the Devil's lap (not really), as Satan tries to guess their sins. Satan's faithful imp will be present to serve drinks, provide witty banter, and give Satan clues if they don't seem to be getting it.