I think we have pretty much, all the same draft breeds here. Shires, Clydes, Gypsies, Percherons etc. Not many Suffolks in the US. Actually, not many anywhere. One of our endangered breeds across the world. Too bad really. I used to see several where I grew up in Norfolk and Suffolk. Some consider Friesians a draft breed, but they are really more a 'carriage' breed these days, rather than a draft. This even though in years past, they were used as draft animals. And of course, on the continent, there are tons of fabulous draft breeds we seldom see in the US.
After Gypsies, Shires are really my favourites. However, they are little like the old Shires I knew in England, years ago. Much higher on the leg and with less body, these days. At least that is what I mostly see in the US. Still, some do try to still breed those really, heavy Shires.