A 1980 study of high school students found conservative students at that time were more likely to describe themselves as "responsible," "organized," "successful," and "ambitious," while liberal students might describe themselves as "loving," "tender," or "mellow."
Surveys suggest that today's adults aren't much different than those 80s kids. A Pew Research Center study from 2014 showed that liberals were more likely than social conservatives to describe themselves as compassionate, trusting, upbeat, and optimistic, while conservatives were more likely to say they were people of honor, duty, religion, and proud to be American.
The self-reports go along with other more recent research from 2012, which suggests that liberals' top moral concerns tend to be about compassion and fairness, while conservatives are more concerned with loyalty, tradition, respect for authority, and purity.