During the first few shots of the crowd holding candles on their way to the wedding, the sun changes positions above the horizon. (But as such indicates the length in time of the journey by foot, which could be intentional, in which case the slow melting of candles might be a goof in its own right.)
Near the end of the dancing scene in Mordcha's inn, the Jews are holding hands and dancing to one side, and the Russians walking ducked through the spaces between their bodies to the other side. In the first two takes, there are four Russians, and in the following two takes only three. The one on the right, with brown hair and a blue shirt, is missing.
The sun angle changes several times during "Matchmaker". This is most obvious when Chava is pushed onto a sunny pile of hay that was in the shadows seconds before.
Near the start of the "If I Were a Rich Man" number, Tevye's arms suddenly change position between shots as he sings "I'd build a big tall house..."
When the family is preparing for the Sabbath, Golde tells Perchik to wash at the well, and she tells Hodel to help him. As they leave the room, Perchik goes out a side door and Hodel follows her sisters upstairs.
It's incongruous for Perchik to profess belief in the Bible and the religion of the villagers , given that he's obviously a Marxist revolutionary.
In the wedding ceremony of Tzeitel and Motel she drinks from the wine by herself both times.
However, this is incorrect.
In a Jewish wedding, the second cup is held by the groom whilst the bride drinks as a sign of his promise to support her in any way she needs.
During the parade to Tzeitel and Motel's wedding with everyone holding candles, Yente's candle isn't burning. However, as anyone who has walked in a procession with a lighted candle knows, it sometimes is difficult to keep the candle lit. Having a candle not burning is not an error but is more often a likelihood.
Contains a character named "Lazer Wolf" despite the play being set in 1905, lasers not being invented until 1960. Lazer is based on Lazarus and has nothing to do with lasers.
When the fiddler is playing the first song, the movements of the fiddler's bow don't quite match up with the song.
When the old man is talking to Tevye about Tzeitel, the shadow of the microphone boom is visible on the old man's shirt.
The story takes place in Ukraine but almost all the characters speak almost all the time English instead of Yiddish, Ukrainian or Russian.