Max (Jason Bateman) and Annie (Rachel McAdams) make a joke about child actors not amounting to much. Bateman was a child actor famous for his roles in Silver Spoons (1982-1984) and Valerie (1986), among others.
When Danny Houston was getting the fighters ready for the second bout in his basement, he calls for "Logan" to get ready. Danny Houston played colonel Stryker in Wolverine: Origins where he was responsible for making Logan into Wolverine by injecting him with adamantium. Wolverine was also a underground cage fighter in the first X-Men when Rogue found him in the Canadian backcountry.
Throughout the film, various children's games are played while trying to navigate the plot. "Simon Says" is played when Annie (Rachel McAdams) is holding the gun to the kidnappers in the bar. "Hot Potato" is played with the egg. "Charades" is played between Max (Jason Bateman) and Annie at the airport. Kevin (Lamorne Morris) and Michelle (Kylie Bunbury)'s argument, their escape from the locked room, and Annie removing the bullet from Max's arm, seem to be references to classic board games "Guess Who," "Jenga," and "Operation," respectively.
Various connections to the game "Monopoly" are found throughout the film including: Gary (Jesse Plemons)'s dog (piece), Brooks (Kyle Chandler)' car (piece), Brooks buying new property on Boardwalk (board spot), etc.
When the Bulgarian (Michael C. Hall) is revealed, there is a possible nod to Hall's previous and well known character, psychopath Dexter Morgan from Dexter (2006), in this scene. He takes Brooks (Kyle Chandler) captive and is asked by his accomplice if the other people should live. He responds by saying they've done nothing wrong and points to Brook's head and says playfully "Only THIS one!" in the same manner Dexter would often do to his victims before he murders them.