After Lois gets the phone call about being the new artistic director, she sets the phone on the couch. It disappears between shots.
At the King and I, when Peter first sees Louis her dress is green. A few seconds later her dress is blue.
During the cutaway with the Shakespeare monkeys, two of the monkeys have no nose.
Einstein's position in the Patent Office was evaluating patent applications for electromagnetic devices (see anywhere). The submission for 'Relativity' would never have got to his window.
That and scientific papers are not filed at the patent office.
During the off scene with Einstein. The patent office door says "Patent Office". This ought to be in German "Patentamt"; he worked in Bern (Switzerland, German speaking), at the Federal Office for Intellectual Property, the patent office, as an assistant examiner.