What 1h has and the other "classes" don't, is a fairly well balanced spectrum of weapons.
IMO, the Knighty Arming sword or the Nordic champion sword are the best allround swords. They're perfectly useable on foot and from horseback, deal enough damage to kill people, have long range (for a 1h), have 4 useable attack directions and they look good.
The downside would be the relatively low(er) speed compared to other swords.
The langes messer is pretty good. It's very useable in melee, fast enough, hits hard enough, but has less range. It's harder to use from horseback, but other than that, no real disadvantages.
Best way to pick a weapon for yourself is to try them all. Pick a sword and play a day with it. If you don't like it, you can try a different one.