Far and away not the best example, but the only one I could find on the internet that wasn't a Scottish basket-hilt broadsword:
http://www.antiqueswords.com/gn137.htm
Notice the width of the blade compared to a rapier. Sometimes they had rapier-style basket or swept hilts, often they were simpler.
Broadsword is a term so misused, it's hard to find a good example. Nobody's put "Arms & Armour" on the internet...