There are 110 like that in the Scrabble dictionary. Here are 63 of the more common ones:
ankh
arch
bash
bath
blah
bosh
both
bush
cash
dash
dish
doth
each
etch
fish
gash
gosh
gush
hash
hath
high
hush
inch
itch
josh
kith
lash
lath
lech
loch
loth
lush
mach
math
mesh
mosh
moth
much
mush
myth
nigh
nosh
oath
ouch
path
pith
pooh
posh
push
rash
rich
rush
sash
shah
sigh
such
tech
tush
wash
wish
with
yeah
bench wench stench wrench
rush
Horse and house are two examples of words that start with h and end with e.
Hannah
Hannah
Some four letter words that end in H are:bathwashwishbashhashhushmushpithmythhathpushpath
AnswerZurich, Zenith, Zeroth, and Zillionth are some of the words that begin with Z and end with h.
Six letter words that end with H:AmbushAttachAweighBanishBleachBlotchBluishBoyishBranchBreachBreathBreechBroachBroochBrunchCaliphChurchClinchClutchCrotchCrouchCrunchCrutchDanishDearthDetachDrenchFamishFetishFinishFlinchFourthFrenchGarishGlitchGrinchGrouchGrowthHaunchHealthHearthImpishKiboshKirschKitschLaunchLavishLengthLoofahLowishMenschModishMopishMulishNewishOnrushOwlishPariahParishPaunchPerishPlinthPloughPolishPreachPunishQuenchRadishRavishRelishRewashScorchScotchSearchSeraphSheathSketchSleighSleuthSlouchSnitchSpeechSplashSquashSquishStarchStenchStitchSwatchSwitchSwooshThatchThoughThrashThrushTrenchTroughTwitchVanishWarmthWealthWhooshWraithWreathWrenchZenith
faithfetchfishfilthfurbishfetishfurnishfifthfourthfourteenthfifteenthfortiethfiftiethflinchforthflashflushfleshfreshfrothfinishflourishfootpathfreakish
NON
yeahyouth
hippo :)