Among the universals that Donald Brown identifies (listed here), the following all have moral dimensions:
biases in favor of in-group,
prevention or avoidance of incest,
pride,
resistance to abuse of power,
self-control,
sexual modesty,
sanctions for crimes against the collectivity,
means of dealing with conflict,
murder proscribed,
good and bad distinguished,
distinguishing right and wrong,
judging others,
concept of fairness,
disapproval of stinginess,
envy,
symbolic means of coping with envy,
etiquette,
insulting,
interpreting behavior,
redress of wrongs,
resistance to abuse of power,
rape proscribed,
pride,
taboos,
hope,
hospitality,
moral sentiments,
limited effective range of moral sentiments,
customary greetings,
generosity admired,
some forms of violence proscribed.
Presumably fair enough—if talking about humans.
Humans share a fair amount—e.g. see:
“Everybody Laughs, Everybody Cries: Researchers Identify Universal Emotions”
http://www.sciencedaily.com/releases/2010/01/100125173234.htm
Similarly there’s likely to be a baserock of human morality, that can be uncovered by conventional science.
For example, “Human Universals”.
Among the universals that Donald Brown identifies (listed here), the following all have moral dimensions:
biases in favor of in-group, prevention or avoidance of incest, pride, resistance to abuse of power, self-control, sexual modesty, sanctions for crimes against the collectivity, means of dealing with conflict, murder proscribed, good and bad distinguished, distinguishing right and wrong, judging others, concept of fairness, disapproval of stinginess, envy, symbolic means of coping with envy, etiquette, insulting, interpreting behavior, redress of wrongs, resistance to abuse of power, rape proscribed, pride, taboos, hope, hospitality, moral sentiments, limited effective range of moral sentiments, customary greetings, generosity admired, some forms of violence proscribed.