Within the office and industry, it was "sneakers" everywhere. [1]. All the guys in the office and anyone seriously collecting or lurking on the forums pretty much always said "sneakers". Anyone who wasn't into the scene though would say trainers.

I'm from Northern Ireland, so until I moved to the "mainland" I actually referred to them as "guddies". [2]

[1] https://web.archive.org/web/20131031030318/http://www.crooke...

[2] https://www.inyourpocket.com/belfast/How-till-spake-Norn-Iro...

Not in general parlance, but people know what sneakers are, and certainly those into collecting would probably use the term.

Gym Shoes. Or if you're my Dad: Plimsolls.

I've heard "runners" as well.