The movie originally opened with a restaurant scene between Liz and Hennessy. That scene was cut, but actual dialogue from it can still be heard as part of a message Liz leaves on Hennessy's answering machine.
The "answering machine" opening came together from discarded shots of a depressed Hennessy. As scripted, the answering machine played a key role in the original, unused, ending, but was re-arranged with dialogue from another scene to start the movie.
Richard Nixon's resignation speech can be heard under Patrick's introduction.
A speech by President Reagan can be heard in Judy's sister's house when Harold comes to apologize.
A subplot with Hennesy laying out his entire relationship with Liz on index cards to figure out what went wrong was dropped during filming.