What are all the references made in other Star Wars movies that one would want to check to be sure Rogue One is fully consistent with those other movies?
Pretty much just the opening crawl of Episode IV.
“It is a period of civil war. Rebel spaceships, striking from a hidden base, have won their first victory against the evil Galactic Empire.
During the battle, Rebel spies managed to steal secret plans to the Empire’s ultimate weapon, the DEATH STAR, an armored space station with enough power to destroy an entire planet.
Pursued by the Empire’s sinister agents, Princess Leia races home aboard her starship, custodian of the stolen plans that can save her people and restore freedom to the galaxy…”
“What have you done with those plans!?”
"An analysis of the plans provided by Princess Leia has demonstrated a weakness in the battle station…A precise hit will start a chain reaction which should destroy the station. "
“You are part of the Rebel Alliance and a traitor!”
I find your lack of faith disturbing.
They worked very hard to fit it into continuity.
Including making sure no one would wonder why the characters didn’t show up again
That’s no moon…
it’s a space station.