Dodge pulls out the vinyl album "Scott", Scott Walker's first solo album. He takes record out of sleeve puts it on turntable but "The Sun Ain't Gonna Shine Anymore" plays. This was by The Walker Brothers and was not on the album in question. Additionally, the following song that plays "Stay With Me Baby" does not appear on the album "Scott." Nor does it appear on the album "The Sun Ain't Gonna Shine Anymore." The two tracks only appear together on later released compilation albums.
When Dodge and Penny go to Olivia's parents' house, Penny breaks the window. They then enter the house, and you can see the window in the background, unbroken. Then a few seconds later, another shot occurs and the window is broken again.
This is supposed to take place in NJ, but when they go to Camden, they show a very suburban, upper middle class area. Camden NJ is totally urban, and one of the poorest and most crime ridden cities in the US.
Dodge's cleaning lady is at his home on the day the asteroid is going to hit. She says it's a Thursday, and yet the news announcer tells everyone to set their clocks forward that night for Daylight Saving Time - which always happens on a Saturday night/Sunday morning.
When Dodge's dad's plane flies away the lights are shown as red on the left and green on the right. The red and green navigation lights for boats and aircraft only shine forward. There is a single white light you see if you are looking at a boat or airplane that is facing away from you. The only way you could see the red light on the left and green on the right is if the plane was flying toward you and it was inverted (upside down). There is also a red light in the middle which is supposed to be the rotating beacon. The rotating beacon is steady (not blinking as it rotates around), but you could argue that it is just broken.
The goof item below may give away important plot points.
The plane Dodge loads a sleeping Penny into is a Cessna 2-seater (either a 152 or a 150). Both models have a max range of around 400 miles. Neither would make it to England from anywhere on the east coast of the US.