In San Jose, California there is a store called:

Linoleum Dicks
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There's a chain of drugstores in Delaware called 'Happy Harry's Discount 
Drugs'
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A chicken take-out chain (started by Rutgers University Students, NJ)

Cluck University Chicken ...  Cluck-U
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Here in Gobles, Michigan, there is a resturaunt named "The Shagnasti"
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There used to be a gay bar in Guam called the "White Swallow"...
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There's a place in Calgary also called "Mother Tuckers" except it's a 
steak house
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In Troy NY : Bizzarro Funeral Home
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In Bellevue Iowa, there existed the "Dye Funeral Home".
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In Philadelphia, there's the "Deady Funeral Home". [Area residents are
aware that "Deady" rhymes with "lady", not "ready", but I can imagine
visitors doing a double take when they see the sign.]
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I Knew a Chinese Take-out called:

        Fu-King Kitchen .......they caught on some months later - changed
        it to Foo-King Kitchen.
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There's on in texas called "Wok N Roll".
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In Logan, Utah, there is a Chinese Delivery place called, 
Wok on Wheels
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I remember the first time I visited Toronto, I saw a chain of Chinese
fast food joints called Ho-Lee Chow. 
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That's ok, How about this, In England there is a store called Knobs and Knockers! :)
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We have one in a suburb of Dallas. In a predominantly Asian community
called Chin Hair Designs. I thought I'd go in and get my goatee trimmed.
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In Victoria we have the B & E Market.
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OK, it's not a pun, but there's a store in Columbia Missouri called
Liquor Guns and Ammo.
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I saw a picture of a small-town drugstore, owned by a guy named Mr Strange.
The big neon sign advertised "Strange Drugs". 
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There is an automotive part store in Colorado with a sign that says,
"We are happy to show you your parts."
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There is a sign at a garage near here that says "Johnsons Please Enter
Through Rear".
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There was once a marque in Seattle that read "NOW APPEARING - JIMMY
 SMITH & HIS SWINGING ORGAN" (they probably had to show ID at the door).
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There's an outhouse company in Edmonton whose slogan is:
"We handle the big jobs"
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Phoenix:
An electrical fix-it shop (displaced when I-10 went through town):
XXX Electrical Shop - Let us check your shorts!
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Radiator repair shop (51 Ave & Glendale)
"Best place in town to take a leak!"
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My local's called the Fook-Hing. It's in Aspendale Victoria.
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In Dallas there's a Chinese restaurant called Wok Around the Clock
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I've been there. Chinese Fastfood/drive-thru, from what I remember --
there's one in Irving. In Kenner, a suburb of New Orleans, there's
something similar to Wok Around the Clock, called "Wok It To Me", and a
Mongolian Barbecue called "Kung Food".