These words were not all invented by Shakespeare but the earliest citations for them in the OED from Shakespeare.

Academe

accessible

accommodation

addiction ( meant “tendency”)

admirable

aerial ( meant “of the air”)

airless

amazement

anchovy

arch-villain

to arouse

assassination

auspicious

bachelorship (“bachelorhood”)

to barber

barefaced

baseless

batty (meant “bat-like”)

beachy (“beach-covered”)

to bedabble

to bedazzle

bedroom (meant “room in bed”)

to belly (“to swell”)

belongings

to besmirch

to bet

to bethump

birthplace

black-faced

to blanket

bloodstained

bloodsucking

blusterer

bodikins (“little bodies”)

bold-faced

braggartism

brisky

broomstaff (“broom-handle”)

bubble

budger (“one who budges”)

bump (as a noun)

buzzer (Meant “tattle-tale”)

to cake

candle holder

to canopy

to cater (as “to bring food”)

to castigate

catlike

to champion

characterless

cheap (in pejorative sense of “vulgar”)

chimney-top

chopped (Meant “chapped”)

churchlike

circumstantial

clutch

cold-blooded

coldhearted

colourful

compact (as noun “agreement”)

to comply

to compromise (Meant “to agree”)

consanguineous (related by blood)

control (as a noun)

coppernose (“a kind of acne”)

countless

courtship

to cow (as “intimidate”)

critical

cruelhearted

to cudgel

Dalmatian

to dapple

dauntless

dawn (as a noun)

day’s work

deaths-head

defeat (the noun)

to denote

depositary (as “trustee”)

dewdrop

dexterously (Shakespeare spelled it “dexteriously”)

disgraceful (Meant “unbecoming”)

to dishearten

to dislocate

distasteful (Meant “showing disgust”)

distrustful

dog-weary

doit (a Dutch coin: “a pittance”)

domineering

downstairs

East Indies

to educate

to elbow

embrace (as a noun)

employer

employment

enfranchisement

engagement

to enmesh

enrapt

to enthrone

epileptic

equivocal

eventful

excitement (Meant “incitement”)

expedience

expertness

exposure

eyeball

eyedrop (Meant as a “tear”)

eyewink

face (meaning the dial of a clock)

fair-faced

fairyland

fanged

fap (“intoxicated”)

farmhouse

far-off

fashionable

fashionmonger

fathomless (Meant “too huge to be encircled by one’s arms”)

fat-witted

featureless (Meant “ugly”)

fiendlike

to fishify (“turn into fish”)

fitful

fixture (Meant “fixing” or setting “firmly in place”)

fleshment (“the excitement of first success”)

flirt-gill (a “floozy”)

flowery (“full of florid expressions”)

fly-bitten

footfall

foppish

foregone

fortune-teller

foul mouthed

Franciscan

freezing (as an adjective)

fretful

frugal

full-grown

fullhearted

futurity

gallantry (Meant “gallant people”)

garden house

generous (Meant “gentle,” “noble”)

gentlefolk

glow (as a noun)

to glutton

to gnarl

go-between

to gossip (Meant “to make oneself at home like a gossip—that is, a kindred spirit or a fast friend”)

grass plot

gravel-blind

gray-eyed

green-eyed

grief-shot (as “sorrow-stricken”)

grime (as a noun)

to grovel

gust (as a “wind-blast”)

half-blooded

to happy (“to gladden”)

heartsore

hedge-pig

hell-born

to hinge

hint (as a noun)

hobnail (as a noun)

homely (sense “ugly”)

honey-tongued

hornbook (an “alphabet tablet”)

hostile

hot-blooded

howl (as a noun)

to humor

hunchbacked

hurly (as a “commotion”)

to hurry

idle-headed

ill-tempered

ill-used

impartial

to impede

imploratory (“solicitor”)

import (the noun: “importance” or “significance”)

inaudible

inauspicious

incarnadine (verb: "to make red with blood"; used in Macbeth)

indirection

indistinguishable

inducement

informal (Meant “unformed” or “irresolute”)

to inhearse (to “load into a hearse”)

to inlay

to instate (Shakespeare, who spelled it “enstate,” meant “to endow”)

inventorially (“in detail”)

investment (Meant as “a piece of clothing”)

invitation

invulnerable

jaded (Shakespeare seems to have meant “contemptible”)

juiced (“juicy”)

keech (“solidified fat”)

kickie-wickie (a derogatory term for a wife)

kitchen-wench

lackluster

ladybird

lament

land-rat

to lapse

laughable

leaky

leapfrog

lewdster

loggerhead (Meant “blockhead”)

lonely (Meant “lone”)

long-legged

love letter

lustihood

lustrous

madcap

madwoman

majestic

malignancy (Meant “malign tendency”)

manager

marketable

marriage bed

militarist (Meant “soldier”)

mimic (as a noun)

misgiving (sense “uneasiness”)

misquote

mockable (as “deserving ridicule”)

money’s worth (“money-worth” dates from the 14th century)

monumental

moonbeam

mortifying (as an adjective)

motionless

mountaineer (Meant as “mountain-dweller”)

to muddy

neglect (as a noun)

to negotiate

never-ending

newsmonger

nimble-footed

noiseless

nook-shotten (“full of corners or angles”)

to numb

obscene (Meant “revolting”)

ode

to offcap (to “doff one’s cap”)

offenseful (meaning “sinful”)

offenseless (“unoffending”)

Olympian (Meant “Olympic”)

to operate

oppugnancy (“antagonism”)

outbreak

to outdare

to outfrown

to out-Herod

to outscold

to outsell (Meant “to exceed in value”)

to out-talk

to out-villain

to outweigh

overblown (Meant “blown over”)

overcredulous

overgrowth

to overpay

to overpower

to overrate

overview (Meant as “supervision”)

pageantry

to palate (Meant “to relish”)

pale-faced

to pander

passado (a kind of sword-thrust)

paternal

pebbled

pedant (Meant a schoolmaster)

pedantical

pendulous (Meant “hanging over”)

to perplex

to petition

pignut (a type of tuber)

pious

please-man (a “yes-man”)

plumpy (“plump”)

posture (Shakespeare seems to have meant “position” or “positioning”)

prayerbook

priceless

profitless

Promethean

protester (Meant “one who affirms”)

published (Meant “commonly recognized”)

to puke

puppy-dog

pushpin (Shakespeare was referring to a children’s game)

on purpose

quarrelsome

in question (as in “the … in question”)

radiance

to rant

rascally

rawboned (meaning “very gaunt”)

reclusive

refractory

reinforcement (Meant “renewed force”)

reliance

remorseless

reprieve (as a noun)

resolve (as a noun)

restoration

restraint (as “reserve”)

retirement

to reverb (“to re-echo”)

revokement (“revocation”)

revolting (Meant as “rebellious”)

to reword (Meant “repeat”)

ring carrier (a “go-between”)

to rival (meaning to “compete”).

roadway

roguery

rose-cheeked

rose-lipped

rumination

ruttish (horny)

one's Salad Days

sanctimonious

to sate

satisfying (as an adjective)

savage (as “uncivilized”)

savagery

schoolboy

scrimer (“a fence”)

scrubbed (Meant “stunted”)

scuffle

seamy (“seamed”) and seamy-side (Meant “under-side of a garment”)

to secure (Meant “to obtain security”)

self-abuse (Meant “self-deception”)

shipwrecked (Shakespeare spelled it “shipwrackt”)

shooting star

shudder (as a noun)

silk stocking

silliness

to sire

skimble-skamble (“senseless”)

skim milk (in quarto; “skim’d milk” in the Folio)

slugabed (one who sleeps in)

to sneak

soft-hearted

spectacled

spilth (“something spilled”)

spleenful

sportive

to squabble

stealthy

stillborn

to subcontract (Meant “to remarry”)

successful

suffocating (as an adjective)

to sully

to supervise (Meant “to peruse”)

to swagger

tanling (someone with a tan)

tardiness

time-honored

title page

tortive (“twisted”)

to torture

traditional (Meant “tradition-bound”)

tranquil

transcendence

trippingly

unaccommodated

unappeased

to unbosom

unchanging

unclaimed

uncomfortable (sense “disquieting”)

to uncurl

to undervalue (Meant “to judge as of lesser value”)

to undress

unearthy

uneducated

to unfool

unfrequented

ungoverned

ungrown

to unhappy

unhelpful

unhidden

unlicensed

unmitigated

unmusical

to un muzzle

unpolluted

unpremeditated

unpublished (Meant “undisclosed”)

unquestionable (Meant “impatient”)

unquestioned

unreal

unrivaled

unscarred

unscratched

to unsex (verb: "to [in its context] make a woman unwomanly (that she might do deeds of men (murder)"; said by Lady Macbeth, in her husband's play)

unsolicited

unsullied

unswayed (Meant “unused” and “ungoverned”)

untutored

unvarnished

unwillingness (sense “reluctance”)

upstairs

useful

useless

valueless

varied (as an adjective)

varletry

vasty

vulnerable

watchdog

water drop

water fly

weird

well-behaved

well-bred

well-educated

well-read

to widen (Meant “to open wide”)

wittolly (“contentedly a cuckhold”)

worn out (Meant “dearly departed”)

wry-necked (“crook-necked”)

yelping (as an adjective)

zany (a clown’s sidekick or a mocking mimic)