What breeds have Roman noses?

It's actually a misconception that Spanish horses have roman noses. The roman nose is a draft horse trait, traditionally, Spanish horses had a subconvex profile, similar to the roman nose but not as extreme. The extreme roman nose on modern spanish horses is similar to the extreme low hip in German Shepherds overbreeding of one characteristic that leads to an extreme or over-exaggeration. Luckily, there aren't any negative aspects to a roman nose like the GSDs.

I think the floppy ears are a draft thing, I've seen lots of drafts with floppy ears

Yeah, its hard to describe when everyone is using the same term to describe varying degrees of convex-ness. I'm trying to learn the Old type Spanish head shape...its a little confusing