In Steve Carell and Tina Fey’s amusing comedy Date Night, there are two scenes where they visit Mark Wahlberg (who plays some kind of secret agent who helps them out), and he exchanges a few words in Hebrew with his girlfriend in the background, who is an Israeli Mossad agent. The actress playing the Mossad agent is indeed Israeli, but Wahlberg himself does a very credible job pronouncing the few words that he says, and with almost no accent. (Although I agree with Carell’s character: For the love of God, please put on a shirt!…)
But he’s the exception to the rule. 99% of the time, whenever Hebrew is presented in American films or TV series, something is wrong.