Doing It for the Art: Tom Cruise's main franchise is also his most profitable, but there's been near zero merch (toys, video games etc) made off it since the video game Operation Surma as Cruise never allowed his likeness to be used for such things (Operation Surma itself used neither his likeness nor his voice). LEGO Dimensions had a M:I pack that got around this by reusing voiceclips from the film, allegedly approved by Cruise himself.
Reality Subtext: The strong chemistry between Ethan Hunt and Ilsa Faust is helped considerably by the fact that Tom Cruise and Rebecca Ferguson, who play them, have a very warm and friendly relationship in real life.
Recycled Script: Both the first and third movie involve Ethan being set up by a mole in IMF who isn't revealed until near the end, and who tries to frame the boss of the organization who spends time as an Anti-Villain trying to hunt down Hunt, with the audience left unclear if its because the boss really thinks Hunt is a traitor or because the boss is the traitor. In both their actions force Ethan to go rogue and steal the MacGuffin that the bad guys are after for them, and in both The Mole is in league with an arms dealer. Each movie sees Hunt's family being dragged into the plot to get at him, sees a fairly traditional IMF plot go off without a hitch only for the team to be ambushed after the fact, and features a reference ot Ethan evading airport security despite IMF putting "a guy at the airport". In a more general sense, every film except the second has used the premise of Ethan being forced go on the run from his own government.
Sequel Gap: The series constantly flirts with this, owing to the busy schedule of franchise lynchpin Tom Cruise. Of late the gap has been gradually narrowing, going from a 6 year pause between II and III, to 5 between III and Ghost Protocol, then 4 until Rogue Nation, and now 3 years into Fallout. Dead Reckoning and Part Two were scheduled for 2021 and 2022, but the impact of the COVID-19 Pandemic led to delays; indeed, the films were initially intended as a Movie Multipack, but the strain on their production due to the pandemic and later the SAG-AFTRA strikes nixed those plans, with them releasing in 2023 and 2025 instead.