If we do have big wavy swords for some reason (rendering them impractical and excessively hard to control), I sincerely hope they are not named \"Flamberge\", as that popular denomination is incorrect.
The typical long swords (and special dueling swords) carried by Knights in the 17th and 18th century were the original \"Flamberges\", which is a derivate from \"Flamboyant\". They received their name from the exquisite patterns and materials of the hilt and pommel, but the structure was very classic. Flamberge was first a moniker given to Sir Renaut de Montauban\'s long sword, in the 8th century.
Nowadays, they call \"Flamberge\" to that huge ondulated sword, which was historically of only ceremonial use back in the 13th century. Experts denominate give it the name of \"Flammards\" or \"Flambards\".
I would personally be pleased to see \"exotic\" weapons such as the schiavona, the katzbalger, the gladius, the smallsword (Descendant of the rapier), the tuck, the cinquedea, and the scramasax.