Here’s my list:

(s) means if you add the s to the end, it makes another word:

make(s)

take(s)

sake

mite(s)

smite

mistake

stake

steak

tame(s)

same

kit(s)

skit

item(s)

time(s)

site

mist

mate(s)

sate

skate

ski

kite(s)

skim

mast

mask

emit(s)

ate

eat(s)

seat

tea(s)

task

team(s)

steam

meat(s)

aim(s)

ask

tie(s)

stem

sat

set

sea

east

sit

kismet

mike(s)

teak(s)

mesa

seam

skat

mat

met

There are a few others that the spell checker here doesn’t recognize, but Dictionary.com does. I think that they may be used more outside of the US is why. Here they are:

kismat (alternate spelling of kismet)

samite (heavy silk fabric)

skite (quick chopping blow)

stime (a little bit)

tike(s) (alternate spelling of tyke)

sike (small stream or a ditch that fills with water when it rains)

the number of words form the letters s t a e m i k is exactly 5040.