dispatch vs accomplish

dispatch is a noun but accomplish is not a noun.

Word	Noun	Adjective	Verb	Adverb
dispatch	Yes	No	Yes	No
accomplish	No	No	Yes	No

As verbs, accomplish is a hypernym of dispatch; that is, accomplish is a word with a broader meaning than dispatch:

Other hypernyms of dispatch include action, carry out, carry through, execute, fulfil, fulfill.

dispatch (noun)	accomplish (noun)
the act of sending off something
killing a person or animal
the property of being prompt and efficient
an official report (usually sent in haste)

dispatch (verb)	accomplish (verb)
kill without delay	put in effect
send away towards a designated goal	to gain with effort
complete or carry out
kill intentionally and with premeditation
dispose of rapidly and without delay and efficiently