While looking for a listing in the phone book, I came across a couple of memorable business names:
I’ll Haul Away What the Trashman Won’t
I’ll Buy That Old Car
There's also a local clothing store called Funky and Damnearnew.Name of a trash haulage company in Harare, Zimbabwe:
Waste Away
Last week in Houston, I was passed by a vehicle with the words Ball Restoration emblazoned on the side.
Speaking of trucks…I crack up every time I see the bakery truck for Bimbo Bread. 
There used to be a fantasy/sci-fi/RPG bookstore here called Nightreaders. oooh, scary!
Name on a body reapir shop- Wreck O Mend
I don’t know if it’s there anymore, but there used to be a restaurant in Charleston, SC by the name of “Fonduely yours”.
~V
As for the Bimbo bread trucks, I think they’re great. It’s kind of sad, though, that I am so used to seeing them, and seeing the products in the store, that I’ve become a bit immune to it. My boyfriend is moving here soon, and he has a commercial drivers license, and may look for a driving job, to start with, while he finishes his education. I told him that he really needs to apply with Bimbo - what a great company to say you work for, have their name on your paychecks, and your work shirts.
Of course, he told me that if he did, that he’d make me wear one of his work shirts, every now and then, out in public. 
Of course, I would, gladly!
~V
A Local removal company is called “Humpit’s”, and all their vans have the slogan “We’ll hump anything!”
note for non-brits: ‘Hump’ is used to mean both ‘carry a heavy object’ and ‘have sex’, but not often at the same time…
In Lewiston, Idaho, there is a hair salon called ‘American Hairways’. And I don’t know how big the chain is, but there is a moving business here called ‘Two Guys and a Truck’. I also see a van around town, I forget what the company does, but it’s called ‘Fuch’s’.
“Brisbane’s Worst Vegetarian Restaurant”
- it’s a steakhouse.
“Cleanliness is Next to Godliness”
- A Sydney cleaning supplies shop next door to a religious supplies one.
“Gosford Shoplifters”
- a shopfitting company.
I know of a company who sell and sevice air conditioners who are called “Stiff Nipples”.
I can provide a link to a picture of one of their vans if requested, but I won’t just post it here as it is on an adult humour site that could offend some people.
In the vast array of inn puns in inns my absolute favorite has remained The Cat Dragged Inn.
A local catering business that delivers snacky food to your parties:
“Entrees on Trays”
Cracks me up every time.
However, barber shops with punny names make me shudder.
Ace Radiator Repair in Waukegan,IL. Their business name isn’t funny but their slogan is:“A Great Place To Take a Leak”
Here in Newark, DE there’s a heavy equipment rental place called “Hire-a-Hoe”. Interestingly, it’s right next to a church.
A hair shop in the twin cities named “Curl up and dye”
The local butcher shop named “Flicker Meats”
I’ve always wanted to start up a desert shop and name it “Chez Monue”. I get giggles when I picture us answering the phone “Shame On You!”
Hair Salon in LA: Oh My Nappy Hair
Sex toy shop in San Francisco: Good Vibrations
Hair salon in Mountain View: Grateful Head
Restaurant in Santa Rosa, CA: “Sam’s For Play Cafe”
Here in NC we used to have Buckner Steel Erection, but they’ve since eliminated the last word. We still have Carolina Stump Grinders. I always imagine their slogan being said with a wink of the eye: “We reach where other’s can’t”.
There’s also the Irregardless Cafe and Sub Conscious Subs.
I know it’s not really a funny name, but every time I see the Borg Warner building in Chicago I imagine Bugs Bunny with cybernetic implants saying “Eeh, prepare to be assimilated Doc.”