Garmin Lily 2 Classic (shazam!). Certain Venu and VivoActive seem like 1-button or 2-button.

And also by "touch screen only", I mean like: "can you set an alarm with the buttons like a CASIO from 1982?" ...if you have to use the touch-screen for swiping like a monkey in a one square inch area to set (or turn on) an alarm, then the watch "doesn't have buttons" IMHO.

Pebble had Up/Ok/Down on the right side, and "Android-Back" on the lower-left. So you just generally navigated tree-like menus, and you could set shortcuts to long-presses of up/ok/down (ie: start/request Uber, next train from nearest station, music controls).

I can't wait to have it again, as while Apple says "you don't need to be tied to your phone!" with their watches, Pebble actually delivered on it. You still needed your phone nearby or in bluetooth range, but you could comfortably "leave it" on the table, or in the bedroom or whatever and not worry about missing an important phone call, and still get "just enough" connectivity to drip out of the internet that you didn't need your phone unless you were transitioning into "using your phone for a task".