Here are some examples I collected and wrote down:
beard = brada
nose = nos
swine = svinja
goose = guska
son = sin
day = dan
sun = sunce
stack (hay stack) = stog
guest = gost
plough,plow = plug
mill = mlin
crest = kresta,krijesta
east = istok
sister = sestra
brother = brat
mother = majka,mati
milk = mleko,mlijeko
brow = obrva
chaste = čestit
daughter = docher (russian)
wolf = vuk = volk (russian)
smile = osmeh,osmijeh/ smijati (verb)
stool = sto (table,desk)
mead = med (honey)
whirl = vir
home = dom
grab (verb) = grabiti
piss (verb) = pišati
dim (adj.) = dim (smoke)
linden = lipa
salt = so
dear = drag
snow = sneg,snijeg
wool = vuna
stud (herd of animals) = stado
beat (verb) = biti
strange = stran
night = noć
three = tri
six = šest
water = voda
strict = strog
saddle = sedlo
nebulous = nebo (sky)
Some of the English words,which are similar to Serbian comes from Latin language.
"Day" and "dan" only look similar, but they aren't derived from the same Indo-European root: "day" comes from PIE *dʰegʷʰ- meaning "to burn" (it's cognate with Serbian "žèći"); while "dan" is from PIE *dyew- meaning "to be bright" (it's the origin of the words for "day" in many other IE languages too, but in Germanic it was replaced by the other word and in modern English it only survives, as far as I know, as the -t in "Lent").
"Mill" and "mlin" are both ultimately borrowed from the same Latin word ("molinum").
