while, wile
while means during the same time that something else is happening
wile means to entice (or it is the first name of the coyote in Road Runner cartoons)
[ It is late at night and I just couldn't resist. ]

whine, wine
whine means a complaining sound
wine means a beverage made by fermenting grape juice

wood, would
wood means the substance from the central part of the trunk of a tree
would means past tense of will