Now, that’s the FUN question!
I’ll start with
Four-wheel wheelbarrow
Trundle
Motorless racer
Kid hauler
I couldn’t ever bring myself to call it a buggy either, and I lived in North Carolina for several years. I hate that word, too.
Hm. 90+% of over 10,000 respondents either called it a grocery cart (14%) or a shopping cart (77%).
I lived in NC too; I think it was my refusal to call it… that… that got me labeled a damn yankee 
The only other person outside of the family in law that I have heard call it a buggy was the overly flamboyant gay sales clerk at walmart.
He put a trashcan lid, the kind with the swinging door, on his head and said “Oh look an R2D2 helmet,” and proceeded to tell me that “In the south, we call it a buggy.” By the way, this was in Clarksville, TN (Fort Campbell, KY), the gateway to the new south as they like to call it . . .hrmph.
Wagon is New York usage; carriage is New England.
gondola?
As someone who shoved the damn things around parking lots for three years in my teens, I can say with authority that they’re called “shopping carts.”
As another who worked in a grocery store, the managers insisted on calling them “buggies” (it turns out they’d been instructed to to give the store a more friendly image :rolleyes: ), everyone else called them carts. I HATE the word buggy.
I call it a shopping cart or just a cart. Most people around here call it a buggy. My friend Tracy calls it a basket, which gave me much confusion when I first started shopping with her, as, to me, a basket is the thing with handles, but not wheels, that you carry around.
Everbody knows it’s a buggy.
Here’s another one (yes that’s a steering wheel at the top).
Round here buggies are found in the company of horses and Amish folk.
We call them carriages. Once in awhile you’ll hear “cart”, but chances are the person calling it such is not from around here.
I’ve never heard of calling it a buggy…huh??? 
When I lived in Ontario, they were called buggies. Now that I live in Florida, I call them shopping carts, so as to blend in with the natives.
True. Shopping/Grocery Carriage and Shopping Cart are about 50/50 here. I think I personally use carriage more often (some of the signs say “carriage corral” so it shows you how common the use is), but I know I use both. The only buggy I know of is this and they don’t often come up in conversation. I suspect, however, that people who call one of these a “buggy” are also going to call what you put food in a buggy too - we use carriage for babies here. Both contraptions have four wheels and a large space to put contents, so it makes sense to use similar terms for both.
I put food into the basket of my shopping cart. Buggy is not a word I want associated with food.
Until this thread I had no idea it was called anything other than a shopping cart.
Yes. Shopping Cart. I was born and raised in the South and never, ever heard them called a buggy. Ever.
As to the Other catagory-
How 'bout Roller-Bearing Mounted Consumable Replenishment Unit
Shopping cart or trolly.