I’ve written several times about Americans using “trainers” to indicate what we normally call sneakers, tennis shoes, or running shoes, most recently here (that post has a link to the previous one, which should have a link to the one before that, etc.). The word is still a bit of an outlier here, which is why I’m still collecting examples.
The latest popped up on the Amazon page of a company called Fitville, a pair of whose shoes I bought (and am quite happy with, incidentally, as they fit my super-wide feet).
Now, this wouldn’t be worth writing about if Fitville were not an American company. So I dug into its website and came up with this:
Will “trainers” catch on here? I’m still betting no, but who knows? Look what happened to “kit.”
notoneoffbritishisms.com 
Trainers or running shoes? I recall being told (by an American) that Americans will never use one word where two will do!
Ah, but we pronounce “tennis shoes” as if it were one word, “tennishoes”.