At one point, when Danny takes a headcount of the family, he asks, "Where's Macaulay Culkin?" as a reference to Home Alone (1990). In real life, Bob Saget is friends with Macaulay Culkin.
Joey's animator friend who tours him around Disney Animation Studios is played by Mark Henn, an actual Disney animator who has been working for Disney for three decades and still today.
In the scene where Michelle meets Goofy and Donald, if you look at Danny's hand behind Michelle, he's wearing a wedding band. In season two, Danny finally takes off his wedding band and decides to date. However, he could be wearing it in preparation for proposing to Vicky.