Well, yeah, offcourse Joey's straight-forward summary of the movie in Jesse's Girl, that's a classic
But other than that, I guess for me the snippets that stood out from the first three seasons is;
-When D.J is babysitting in 'Triple Date', and Stephanie tells Danny that D.J turn into such a witch when she's in charge and says, with gestures, 'I'll get you my pretty!', to which D.J follows up with when Danny's out of the room, 'I'll get you my pretty, and your little bear too!'.
-When Jesse is trying to learn to be smart and cultivated to impress Becky in 'No more mr. dumb guy', and Joey tease him and sings outbreaks from the 'so you won't be just a nothing.......' song..
-And when Joey is trying to cheer up Stephanie when the family is missing Disneyland due to fog in 'The 7th month itch', and sings the 'Munchkin land' song her.
I'm sure there's more, but those are the one's i could remember on the spot...