"νέος" usually refers to people, "καινούριος" usually refers to things.
νέος(noun) = young man
Example: Τι όμορφος νέος! = What a beautiful young man!
νέος, νέα, νέο (adj.) = young
Example: Αυτή η γυναίκα είναι πολύ νέα. = This woman is very young.
καινούριος, καινούρια, καινούριο (adj.) = new
Example: Πήρα καινούριο αυτοκίνητο. = I bought a new car.
Τhe opposite of "νέος" is "μεγάλος" (grown-up).
The opposite of "καινούριος" is "παλιός" (old)
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Vasiliki Baskou, Instructor/Director, https://learn-greek-online.com.