The first time we see Ted Pikul at the trout farm, he labels an envelope with the letters LA. The L is clearly connected to the A. However in the next shot with the envelope on the conveyor belt the L and A are no longer connected.
When Pikul is extracting the tooth from Allegra's shoulder, the sleeve of her top is rolled down. In the next shot after it comes out, her shoulder is covered again, but Pikul's hand resting on it hasn't moved. (There are deliberate costume discontinuities in this movie, when the characters shift in and out of eXistenZ, but this isn't one of them.)
When Pikul and Allegra realize he received a second infected port from Vinokur, Jude Law repeatedly has trouble hiding his British accent, especially when yelling.