Continuity mistake: As Gunter is crying in the dorm, the number of bananas change between shots as well as the position of them on the floor. The changes are most notable when Fry approaches Gunter in the room.
Continuity mistake: When it's Nibbler's birthday, in a far away shot of Nibbler in his chair, the three balls on it are pink, but in the close up they are green. (00:04:20)
Continuity mistake: At the beginning of the episode there is tape on the armrest of the couch, but later in the episode there is no tape anywhere on the couch.
Continuity mistake: During the court case, the lady judge has a band-aid on her forehead. It disappears and reappears throughout the scene. (00:06:20)
Deliberate mistake: When the world is counting down to the new year, we see people in various countries, Egypt, the USA etc all counting down together. Because of time zone differences this isn't possible. [It is a little joke.] (00:01:35)
Continuity mistake: The windows at the beginning of the episode are inconsistent. Sometimes they're transparent, sometimes opaque. As in the taxi, the newspaper stands and the shop windows. (00:00:30)
Continuity mistake: Bender's ID-tag pinned on his chest changes position several times during the episode. In some shots it's even gone. (00:09:50 - 00:13:00)
Continuity mistake: People (even the dogs) flying through the asteroid belt wear space helmets, but on the asteroids themselves, they don't.
Continuity mistake: Inside the suicide booth when Bender has the coin tied to his finger, the size of the knot around his finger differs between shots. (00:08:25)
Other mistake: A few of the liquid people are shown wearing clothes; while you can usually see through the people to the walls, etc, behind them, you can't see the clothing through them. (00:11:10)
Continuity mistake: In the bar when Fry spots Leela outside he says "Oh, no. It's the cyclops", there is a can in front of him. When it cuts it's gone. (00:11:00)
The Honking - S3-E1
Continuity mistake: When they are all sitting at the table and then laughter is suddenly heard Bender says, "What's that?" and Zoidberg is sitting with a glass in front of him. When it cuts to Zoidberg the glass is gone. (00:04:15)
The Honking - S3-E1
Continuity mistake: When we first see Bender as a Were-car we see him jump and land on a green building and on the right of the screen you see an air-conditioner. When it cuts the air-conditioner has changed position. (00:07:55)
A Big Piece of Garbage - S1-E8
Continuity mistake: In the scene where Leela is telling Fry how even his food is recycled (just after they have seen the video of the origin of the garbage-ball) you can see both Fry's drink can and sandwich on the table. After the closeup of Fry his sandwich has disappeared but in the next full-table shot it's back (albeit moved to Fry's right along with his drink can). (00:10:00)
Continuity mistake: Whilst Fry, Leela and the professor are on the log near the waterfall they are very close to the right side of the river. A few shots after Gunter puts the hat back on his head you can see they and the log are now all the way over to the left side of the river.
Episode Two: The Series Has Landed - S1-E2
Continuity mistake: When Bender is saying 'you're the kind of guy who visits Jerusalem' near the dome porthole, his cigar is lit and smoking. When we next see him, it's out. (00:09:40)
Continuity mistake: At the Cryogenic facility, right where Fry shouts "Pizza delivery for..." the desk is positioned almost parallel to the window, but when Fry sits down at the desk, its positioned perpendicular to the window. And Fry can't have moved the desk because in both shots the freezing chamber is placed behind it so he would have had to move that as well. (00:01:20)
I, Roommate - S1-E3
Other mistake: When the crew are leaving Fry's new apartment, Amy slips on the banana skin again and falls over, and for some reason Fry tries to shut the door without her leaving. Maybe it was easier than drawing her getting up, but still worth a look. (00:15:30)
Deliberate mistake: In the dorm room, Fry's punch cup appears out of nowhere. [According to the DVD commentary, this was done on purpose.]
Bender Gets Made (a.k.a. Bendfellas) - S2-E17
Continuity mistake: When the cops spot Bender at the Oilade stand, the letters on the stand become much bigger than in previous shots, and the price disappears.
Answer: Yes Leela knew from early on that Fry had feelings for her. They were pretending to be a couple in 'A Flight to Remember' from season 1 and Fry tried to get on dates with Leela ever since. She just didn't show signs of the feelings maybe being mutual before some of the later episodes.
Andreas[DK]