All the following Cryptarithms (aka Alphametics) were invented by me, or rather, by programs (Turbo Prolog of course!) written by me. Each has a unique solution (unless otherwise stated) with no leading zeroes.
texas+nevada=alaska
iowa+ohio+kansas=alaska
kansas+oregon=arizona
nevada+oregon+indiana=arizona
oregon+georgia+indiana=arizona
iowa+florida+colorado=delaware
kansas+indiana=florida
alaska+oregon=georgia
iowa+nevada+indiana=georgia
maine+arizona=georgia
ohio+alabama+oklahoma=illinois
texas+kansas+nevada=indiana
iowa+kansas+nevada=indiana
maine+nevada=kansas
indiana+illinois=missouri
maine+arizona+georgia=montana
idaho+maine=nevada
ohio+idaho+kansas=nevada
oregon+georgia=newyork
ohio+idaho+nevada=oregon
ohio+kansas=oregon
maine+nevada+indiana=vermont
oregon+georgia+vermont=virginia
iowa*ohio=florida (2 solutions)
iowa/ohio=mainemaine...
carter+reagan+lincoln=clinton
grant+arthur+reagan=harding
grant+arthur+carter=reagan
grant+hayes+reagan=arthur
wilson+johnson=lincoln
monroe+reagan=taylor
arthur+taylor=hoover
grant+carter=pierce
ford+pierce=carter
adams+grant=truman
taft+truman=monroe
taft/tyler=polkpolk...
gore/bush=nonono... (!!!) (2 solutions)
earth+uranus=saturn
saturn+uranus=jupiter
mars+saturn+uranus=mercury
pear+apple=grape
date+banana=cherry
apple+lemon=banana
plum+apple+grape=banana
pear+peach+banana=cherry
pear+lemon+banana=orange
apple+grape+lemon=orange
apple+grape+banana=orange
apple+lemon+banana=orange
grape+peach+cherry=orange
pear+apple+lemon+banana=orange
pear+plum+apple+grape+lemon=orange
ten+nine+eight=seven
two+eight+twelve=eleven
ten+three+eleven=twelve
five+nine+twelve=eleven
trois+treize=quatre
douze+treize=quatre
un+onze+douze+trois=treize
gamma+sigma=theta
gamma+theta=lambda
gamma+sigma=lambda
kappa+theta=lambda
mu+tau+gamma=theta
pi+psi+kappa=theta
pi+psi+gamma=sigma
mu+iota+omega=gamma
pi+alpha+kappa=lambda
eta+beta+gamma=omega
eta+zeta+gamma=omega
tau+delta+omega=lambda
phi+alpha+kappa=lambda
pi/beta=rhorho...
xi/rho=lambdalambda...
neon+nickel=cobalt
neon+carbon=nickel
neon+cobalt=nickel
lead+silver=radium
argon+carbon=oxygen
argon+iodine=copper
tin+neon+iodine=helium
iron+neon+helium=iodine
gold+iron+silver=iodine
iron+lead+iodine=radium
iron+radium+sodium=iodine
tin+gold+neon+iodine=oxygen
tin+iron+neon+radium=iodine
iron+neon+zinc+carbon=iodine
iron+neon+argon+copper=iodine
iron+neon+argon+radium=iodine
gold*iron=lead*tin
gold*neon=lead*zinc
iron*radium=neon*sodium
argon*tin=iron*zinc
copper*neon=iron*silver
tin/neon=cobaltcobalt...
green+violet=indigo
red+green+orange=yellow
red+green+orange=indigo
france+greece=finland
finland+ireland=denmark
wales+greece+sweden=england
two*six=twelve (3 solutions)
cinq*six=trente
un*cent=dix*dix
deux*cent=dix*vingt
v*vi=xxx
iv*xi=xliv
v*xiv=lxx
i*xlii=vi*vii
iii*lv=xi*xv
ii*xcvi=xii*xvi
v*xlv=xv*xv
iii*c=vi*l
vi*l=x*xxx
vii*lv=xi*xxxv
v*lxxviii=xiii*xxx
iv*xcix=vi*lxvi
v*xc=x*xlv
vii*lxxii=xii*xlii
vi*xc=x*liv
ix*lx=x*liv
vi*xcii=xii*xlvi
vi*xcv=x*lvii
x*lxiii=xv*xlii
x*lxiv=xvi*xl
x*lxvi=xii*lv
vii*c=xiv*l
xv*lvi=xxi*xl
xiii*c=xxvi*l
xiv*xciii=xxxi*xlii
xv*xcvi=xxiv*lx
xv*xcviii=xxxv*xlii
xv*c=xxx*l
xxvii*lxx=xxx*lxiii
xxv*xc=xlv*l
xxvi*xcii=xlvi*lii
In these, each letter represents a different digit from 0 to 9. The four digits in each row, and the four digits in each column, add up to the same number. This sum is also given below (in letter-form).
ELMS REIN ANTI STEP Sum = ET
SHOP PIPE AREA RENT Sum = TO
SCAN POLE AREA REST Sum = NL