Maybe this is an age thing, but if you study the history of electronic music, it's not hard to understand why the term "EDM" exists. "Dance" music has always existed, used to describe a style of music that had some kind of formal dance to go along with it (look at Sketchman3's list, almost all of those are also the names of a style of dance), while early electronic music started out as reinterpretations of classical music (see: Hooked on Bach), therefore, it was not dance music, just like most video game soundtracks are not dance music either.
digging deeper into actual genres, house and techno started out simultaneously with 2 very different directions, house being heavily influenced by disco and motown via samples, and techno being heavily influenced by early computer synthesis... but to be honest, early techno and house still had a lot in common, and it wasn't long before the two influenced each other.
more recently, even dubstep and its predecessors dub / garage were based on dance music that predated electronics. the history of jamaican dub is really interesting to study, as something that was originally entirely acoustic, producers started bringing synthesizers and drum machines into the studio for the purpose of recreating what was originally done acoustically, but also to unlock the almost limitless potential for sound design that these new devices offered.
most recently it's interesting seeing the evolution of brostep as a form of EDM, being that headbanging and skanking originated from rock music, and a lot of brostep producers have their roots in various styles of rock.
tl;dr yes, acoustic dance music has always been a thing
