Latin
* Bene (adjective): good, well
* Benefactor (noun): a person who gives money or other help to a person or cause
* Beneficence (noun): the quality of being generous and helpful
* Beneficial (adjective): producing good or helpful results
* Benefit (noun): an advantage or profit
* Benevolent (adjective): well-meaning and kindly
* Benediction (noun): a blessing
* Benign (adjective): gentle and kind
* Benignity (noun): the quality of being gentle and kind
* Biennial (adjective): happening every two years
Greek
While "bene" is a Latin root, the Greek equivalent is "eu-" which also means "good" or "well".
* Eudaimonia (noun): happiness, well-being, flourishing
* Euphemism (noun): a mild or indirect word or expression substituted for one considered to be too harsh or blunt
Important Note: Some words with "bene" in Latin might not directly translate to English with "bene" in the word. For example, "benevolent" is from "bene volens" (well-wishing), but it's not the literal translation.