When Moss shows Roy his tear solution, the mini fridge has a "Guided By Voices" sticker, referencing when Jen admitted she has become a fan and a "nerd conduit."
During the channel 4 news broadcast where Jen and Roy's identity gets revealed to the world, on one of the photo shots you can see the house/parish that was used in the television sitcom 'Father Ted'. Father Ted was co written by Graham Linehan and Arthur Mathews and Graham Linehan wrote the IT crowd.
'Game Board' is based on the Internet series "The Dice Tower." The phrase "shut the fridge" in the second video is based on The Dice Tower's catchphrase, "shut the door," which appears at the end of many of their videos.
When the screen starts piling up with memes made about Jen and Roy, one of the photos has the Parochial house from Father Ted in the background. Graham Linehan created Father Ted.
When Moss changed his clothes in a telephone booth, it is a spoof on the Superman comics in which Superman famously changed into his uniform in telephone booths fast enough that no one noticed.