There are several synonyms for the phrase "repeat oneself". One common term is "reiterate", which means to repeat something for emphasis. Another option is "recapitulate", which refers to summarizing or restating something that has already been said. Additionally, the term "echo" can be used to describe the act of repeating oneself in a manner that is not necessarily intentional or purposeful. "Rehash" is another option, and it suggests recycling old information rather than presenting something new. Finally, "parrot" can also be used to describe someone who simply repeats things that they have heard without adding any nuance or individuality to their communication.