There are several synonyms for the phrase "great expectation." One such synonym is "high hopes," which refers to having a strong belief in achieving something. Another appropriate term is "ambition," which denotes an individual's desire to accomplish a specific goal. "Anticipation" is another alternative term, which reflects excitement and eagerness associated with achieving something or achieving a specific outcome. "Enthusiasm" can also be a synonym for "great expectation," as it represents a positive and optimistic outlook about the future. "Optimism" can also be used interchangeably with "great expectation," characterizing a hopeful and upbeat perspective about what's to come.