Whether you call them homophones or homonyms, here is my extensive list of words that sound the same, or almost the same, in American English.  Please be aware of the following:
 

	While I've included words that sound nearly identical, such as "gamble" and "gambol," I have not included words that sound somewhat alike, such as "elicit" and "illicit."
	Some foreign words, such as "sheik" (note the correct pronunciation), which have become part of the American vernacular, are included.  However, I've omitted others, such as "lieder," which are not as familiar.  This means whether to include certain words is based purely on my own personal preferences.
	I have not given definitions.  It's up to you to look up terms you do not understand.
	Common contractions, such as "they're" are included.
	Terms are listed in alphabetical order, according to the "earliest" word; thus, "chute" and "shoot" are listed under C and "knows" and "nose" are under K..

     M
made/made
mail/male
main/mane
maize/maze
mall/maul
manner/manor
marquee/
marquis
marshal/martial
mat/matte
meat/meet
medal/meddle
metal/mettle
mewl/mule
mews/muse
might/mite
mince/mints
mind/mined
minks/minx
missal/missile
missed/mist
moan/mown
mode/mowed
mood/mooed
moose/mousse
moral/morel
morning/mourning
mussed/mussed
muscle/mussel
mustard/mustered

     N
naval/navel
none/nun
neigh/nay

     O
oar/or/ore
ode/owed
oh/owe
one/won
oohs/ooze
overdo/overdue

     P
pail/pale
pact/packed
pain/pane
palate/palette
pare/pear
parish/perish
passed/past
patience/patients
pause/paws
peace/piece
peak/peek/pique
pearl/purl
pease/peas
pedal/peddle
peer/pier
penance/pennants
penitence/penitents
per/purr
pi/pie
pistil/pistol
plain/plane
pleas/please
plum/plumb
pole/poll
pore/pour
praise/prays/preys
pray/prey
precedence/precedents
presence/presents
pride/pried
principal/principle
prince/prints
pries/prize
profit/prophet
pros/prose

     Q
quarts/quartz

     R
rack/wrack
rain/reign
rail/rale
rap/wrap
rapt/wrapped
rays/raze
read/red
real/reel
reek/wreak
residence/residents
rest/wrest
retch/wretch
review/review
rheumy/roomy
rhyme/rime
right/rite/write
ring/wring
road/rode
roil/royal
root/route
rose/rows
rote/wrote
rue/roux
rued/rude
rues/ruse
rough/ruff
rye/wry

     S
sac/sack
sachet/sashay
sail/sale
sane/seine
saver/savor
scene/seen
scull/skull
sea/see
seam/seem
seamen/semen
sects/sex
serf/surf
serge/surge
sew/so
sewn/sown
shake/sheik
shear/sheer
shoe/shoo
shook/souk
sic/sick
side/sighed
sighs/size
sight/site
sign/sine
sink/sync
slay/sleigh
sleight/slight
slew/slue
sloe/slow
soar/sore
soared/sword
sole/soul
some/sum
son/sun
spade/spayed
stair/stare
steal/steel
staid/stayed
stake/steak
stationary/stationery
stile/style
straight/strait
suite/sweet
suede/swayed

     T
tacked/tact
tacks/tax
tail/tale
taper/tapir
tarry/terry
taught/taut
tea/tee
tear/tier
teas/tease
team/teem
tense/tents
tern/turn
the/thee
their/there/they're
threw/through
throes/throws
throne/thrown
thyme/time
tic/tick
tide/tied
timber/timbre
to/too/two
toad/towed
toe/tow
told/tolled
tole/toll
tool/tulle
tracked/tract
troop/troupe
trussed/trust

      V
vain/vein
vale/veil
vary/very
verses/versus
vial/vile

     W
wail/whale
wait/weight
waive/wave
walk/wok
want/wont
war/wore
ward/warred
weak/week
wear/where
we/wee
weather/whether
weigh/way
wen/when
wet/whet
whacks/wax
wheeled/wield
which/witch
while/wile
whiled/wild
whine/wine
whined/wind
whorled/world
whys/wise
wood/would

      Y
yoke/yolk
yore/your
you'll/yule