Corrected entry: The Narrator of this episode, in describing The Simpsons, says "THIS NORTHERN KENTUCKY FAMILY." This is the only time that they have ever TOLD viewers where they live. It is at the very end of the episode while they are sitting on the hillside.
Correction: It's been dismissed as a fake. They don't actually live in Northern Kentucky (they could, but we have no concrete evidence). To add to the mystery, the subtitles say Southern Missourian family.
Kill the Alligator and Run - S11-E19
Corrected entry: Homer runs outside to see the college students packing. He asks a couple why they are leaving. The couple is putting a statue of a head on their car. The statue blinks the same time the male college student does.
Correction: That's not a statue head, that's a person. In the zoom out right before Homer starts talking to them, you can see his torso in the car windshield wearing a green shirt and he has his arm on top of the car. When Homer starts talking to the couple, the man looks like a disembodied head on top of the car.
Corrected entry: It is revealed in this episode that the Simpsons live in the state of Kentucky.
Correction: However, it is NOT possible for the Simpsons to live in Kentucky. The Simpsons' beach is an OCEAN BEACH. It not only has whales and dolphins in it, it also (in several episodes) is used as a transportation/trade route. Remember the shipment of Hot Pants in the "soul mate" episode? Remember the time Willy was deported because of the illegal immigrant laws? The fact that there's a rocky shoreline and a lighthouse (even one operated by E.A.R.L) shows oceanfront. There (for the geographically impaired) is NO OCEAN in Kentucky. In addition, there's no Evergreen Terrace (nor Evergreen St., Ct., Ave., Blvd., etc) in Springfield KY.
Springfield contiguously changes, that's part of the running gag. Sometimes it's landlocked.
Tree House of Horror X - S11-E4
Corrected entry: Homer starts to sing 'I forgot to put the headlights in' but in the flashback (where Ned gets attacked by a werewolf) the headlights are on.
Pygmoelian - S11-E16
Corrected entry: When Homer puts the family through an early morning fire drill and rushes them out to the car and drives away they are all in their respective sleeping clothes. However, when they pull up at the Duff Festival they are in their regular clothes, and knowing Homer he wouldn't think far enough ahead to bring a change of clothes for everyone.
Correction: There is nothing to say Homer didn't put clothes in the car. He planned to make the trip to Duff day as quickly as possible. Homer even planned ahead to take the door latches off to ensure no one would escape, meaning this was no spur of the moment decision. There was also enough time between the time they left and arrived at Duff day to have put some clothes on in between.
Alone Again Natura-Diddly - S11-E14
Corrected entry: Homer drives his car through the pit stop, and later tells Ned how he parked in the ambulance bay- But they hiked there, rather than driving.
Correction: Homer only references where the car was parked when the ambulance tried to park. As you mention, Homer goes through the pit stop and he would obviously need to park somewhere before returning to the stands. The hiking is irrelevant as he somehow got his car to the track and into the pitstop during the race.
Days of Wine and D'Oh'ses - S11-E18
Corrected entry: Homer and his friends said that they couldn't picture Barney without the door handcuffed to him. The birthday party was two weeks ago, and he didn't have it on then.
Correction: That's not a mistake, it's just another one of many stupid things that the guys say.
Pygmoelian - S11-E16
Corrected entry: On the way to the beer festival, Homer took the door handles. How could Bart and Lisa get out of the car?
Corrected entry: The person Homer tries to prank with the bucket of cement is a different person to the one he ran over 5 years ago.
Correction: That actually makes a lot of sense, it being a different person. When Homer ran the dean over, he caused pretty serious damage (he was in a full body cast). A paralyzed dean probably wouldn't be able to do his job, and since he re-admitted the students who were expelled the board had a go-ahead to fire him.
Corrected entry: In the episode 'Beyond Blunderdome' one of the vehicles in the Hollywood car museum is Herbie the love bug. However, in 'Guess Who's Coming to Criticize Dinner' the same car is seen in Planet Springfield.
Correction: There was more than one model of the Beetle used in those movies - about 30 for 1968's "The Love Bug" alone! There could certainly be units in these two museums simultaneously.
Guess Who's Coming to Criticize Dinner - S11-E3
Corrected entry: The keyboard that Homer uses to write his report doesn't have a working E key. When his boss looks at it he says that he repeats "screw Flanders" at the end. Screw Flanders has two Es.
Correction: "Scrw Flandrs" is easily recognized as 'Screw Flanders'.
Corrected entry: This episode takes place in 2030, and it's said that Lisa was just inaugurated President. There will be a presidential inauguration in 2029, not 2030.
Correction: Not necessarily. Although not routine, there may be an inauguration in 2030 if the previous president's term is terminated early for some reason (e.g. they die or are impeached, or simply resign).
Tree House of Horror X - S11-E4
Corrected entry: Just after the Simpson family have been chased by Ned in the car, Homer pokes Ned in the eye with a twig and it makes a squishy noise indicating Homer has poked his eye, even though Ned is wearing glasses.
Correction: When you see Homer poke Ned in the eye the first time, you can see that his glasses are pushed farther up his face.
Correction: This is actually talking to the Simpson family as ACTORS, not as the characters they play. The family in "real" life may be from Northern Kentucky, but the characters they portray could be from anywhere.