Not so much an amusing name as a great example of vertical market integration:
Jackson’s driving school and body shop.
I kid you not. On East Hastings, around Victoria Drive. As Dave Barry says, I swear I am not making this up.
There’s a car dealership here called Jim Slemons. The license plate holders have the name on the bottom, all caps, kind of smushed together. Would you buy a car from a place called JIMSLEMONS?
A local massage (no, not the sex kind, you perv, just the physical therapy kind) is called Nice to Be Kneaded.
I also have a couple of places nearby that are pretty mediocre:
OK Chinese
OK Doughnuts
C’mon, guys! Show a little pride in your food!
There’s another one in CA, in Sierra Madre. A friend made it a point to show it to me. Most of us had no idea that there was another way to pronounce it than what we had assumed. 
There’s a hair salon in Liverpool, England called “Curl up and Dye”. Or there used to be anyway.
If you want milk, call the Creamery at Pike Place Market in Seattle and ask for Nancy Nipples. She’s the owner.
Here in FL we have a T+A Produce Company.
Used to have a “People’s Gas”. Took me awhile to get that.
We also have a Jackson and Associates construction company, which isnt funny till a prankster graffities their sign and it becomes
Jackson and Associates.