In a “Making of” video, game director Koshi Nakanishi stated that the Bakers were originally going to have a pet dog named Diane that would have appeared at the dinner scene, but she was cut early in development.
The "Horror comes home..." trailer for Resident Evil VII is a clear nod towards the original 1996 Resident Evil's menu intro. Both were shot in live action from an unseen assailant's perspective and both show them scampering through hallways towards the unsuspecting hero, startling and subsequently attacking them in a similar manner.
During the second Jack Baker boss fight, right after Jack grabs the chainsaw, he will say "Groovy". This is a reference to The Evil Dead 2 where the main character Ash says this line.