Chalkboard: "Bart Bucks" are not legal tender
Couch Gag: Homer arrives ahead of the others and lies down. The others then rush in and sit down on Homer, who flails his arms.
Homer: No. Wait a minute, what was that last one again?
Homer: (Recalling) Lisa, stop playing that stupid...saxophone! Yes, that's it!
Jerry: Alto or tenor?
Lisa: (on the phone) Dad, I broke my last saxophone reed, and I need you to get me a new one.
Homer: Uh, isn't this the kind of thing your mother's better at?
Lisa: I called her, she's not home. I also tried Mr. Flanders, Aunt Patty, Aunt Selma, Dr. Hibbert, Reverend Lovejoy, and that nice man who caught the snake in our basement.
Homer: Wow, and after them, out of all the people in the world, you chose me.
Pet Salesman: Oh my, what is that smell? Oh it's you.
Homer: 'Scuse me, do you sell ponies?
Pet Salesman: Uh…sure pal, right here.
Homer: Deer Hound...hey this is a dog!
Homer: I'll buy her that pony she's always bugging me for.
Marge: We can't afford to buy a pony.
Homer: Marge, with today's gasoline prices, we can't afford not to buy a pony.
Homer: Look, I let you down, and I apologize, I know that doesn't make it right, but I hope you can find it in your heart to forgive me.
Lisa: I forgive you.
Homer: D'oh! You didn't mean that!
In the end, the melted cheese and work clothes disappear from Apu's hands.
At one point in the episode, Homer is talking on the phone with someone at his work station. When you first see him, the wire is coming out of the left side of him and when he turns to his right, the wire is coming from the right side of him.
Before Lisa licks the salt lick, there is another horse in the stable which just disappears.
When Homer first gets Lisa the horse he puts it in her bed, when she wakes up she opens the covers to the sight of the horse's head and screams just like the movie director's scene in the 1972 film.
The show Homer is watching, while Lisa makes her first steps, is Fantasy Island.