Caught the PHM advanced screening last night (loved it for the record), for anyone who's curious here's an assortment of things that did not make it into the movie (FULL LIST UNDER THE CUT)
-Extended scenes of gravity testing/pendulum construction
-Grace self-nicknaming, so no toga and Emperor Comatose
-Lokken is completely gone
-"It's not like that. [...] Okay, it's exactly like that."
-Dubois and Shapiro hooking up is only briefly implied and none of them suggesting Grace and Stratt bang it out
-Stratt's War Crimes for the Good of Humanity, including her "I can do what I want" presidental hall pass
-Rocky isn't embarrassed to be seen eating, in fact it's Grace's habits he finds gross and his own are "beautiful"
-Nothing about Eridian biology is covered in general
-"What name of your chair, question"
-"I am scary space monster, you are leaky space blob"
-Rocky getting cleaned out like a computer keyboard with canned air after his big rescue
-Taomoeba breeding and subsequent fuel infection is dramatically cut down
-On a related note, the preferred death methods of the crew are pared down to a line about "lethal injection with a side of heroin" so the surplus of nitrogen being used for the breeding chambers is gone
-Grace doesn't eat a single Me-burger