Unity Village is located at (38.946283, -94.399311).
According to the United States Census Bureau, the village has a total area of 2.0 square miles (5.1 km²), of which, 1.9 square miles (4.9 km²) of it is land and 0.1 square miles (0.2 km²) of it (3.05%) is water.
There were 81 households out of which 2.5% had children under the age of 18 living with them, 18.5% were married couples living together, 3.7% had a female householder with no husband present, and 76.5% were non-families. 71.6% of all households were made up of individuals and 21.0% had someone living alone who was 65 years of age or older. The average household size was 1.35 and the average family size was 2.21.
In the village the population was spread out with 2.1% under the age of 18, 7.9% from 18 to 24, 31.4% from 25 to 44, 42.9% from 45 to 64, and 15.7% who were 65 years of age or older. The median age was 50 years. For every 100 females there were 62.8 males. For every 100 females age 18 and over, there were 63.1 males.
The median income for a household in the village was $29,583, and the median income for a family was $87,667. Males had a median income of $41,765 versus $30,667 for females. The per capita income for the village was $31,836. There were none of the families and 11.9% of the population living below the poverty line, including no under eighteens and none of those over 64.