die vs famish

die is a noun but famish is not a noun.

Word	Noun	Adjective	Verb	Adverb
die	Yes	No	Yes	No
famish	No	No	Yes	No

As verbs, famish is a hyponym of die; that is, famish is a word with a more specific, narrower meaning than die:

die: pass from physical life and lose all bodily attributes and functions necessary to sustain life
famish: die of food deprivation

Other hyponyms of die include abort, asphyxiate, stifle, suffocate, buy it, pip out, drown, predecease, starve, fall, succumb, yield.

die (noun)	famish (noun)
a small cube with 1 to 6 spots on the six faces; used in gambling to generate random numbers
a device used for shaping metal
a cutting tool that is fitted into a diestock and used for cutting male (external) screw threads on screws or bolts or pipes or rods

die (verb)	famish (verb)
pass from physical life and lose all bodily attributes and functions necessary to sustain life	be hungry; go without food
disappear or come to an end	die of food deprivation
suffer spiritual death; be damned (in the religious sense)	deprive of food
stop operating or functioning
lose sparkle or bouquet
to be on base at the end of an inning, of a player
cut or shape with a die
be brought to or as if to the point of death by an intense emotion such as embarrassment, amusement, or shame
languish as with love or desire
feel indifferent towards
suffer or face the pain of death