Full Frontal with Samantha Bee, on TBS
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Samantha Bee is a former correspondent on The Daily Show, and now she's got her own show, which has a similar sensibility. I don't really have a chance to watch it on TV usually, but I can see clips online. So... it's generally an amusing and thought-provoking show about current issues, just like TDS (and pretty much any show hosted by former TDS contributors). And I don't know what else to tell you.
In 2018 there was a Christmas special called Christmas on I.C.E.