Tim Allen's first line of the series was "I'm back", hinting on his return to TV, 12 years since Home Improvement (1991) went off the air.
Alexandra Krosney, who plays the older sister, is actually 2 years younger than Molly Ephraim--her younger TV sister.
In the pilot, Kristen does a "Salute to bacon." This is a possible nod to Tim Allen's Tool Time in Home Improvement (1991).
Mike makes a joke about his sisters but never mentions them again throughout the series. In fact, it turns out he has only 1 sibling, a younger brother.
When Mike is talking to Kristen about not leaving Boyd at daycare, at the end of the conversation, he says "And beyond". possibly a nod to Toy Story in which Tim Allen starred.