I love 1h weapons. There are so many good ones, and they are so versatile, you have a LOT of choices. You really should try a bunch out and see what you like before committing to a loom.
I also like western/euro weapons, so we have similar tastes. These are the weapons I recommend. You can use them with almost any semi-balanced build with any armor. Just use what you like and what looks cool to you.
Swords:
Grosse Messer
Langes Messer
Italian Sword
Broad Short Sword
Nordic War Sword
Knightly arming Sword
Nordic Champ Sword
Maces/hammers/picks:
Iberian Mace
Warhammer
Spathovaklion
Military Hammer
Steel Pick
Military Pick
Axes:
One Handed Battle Axe
Broad One Handed Battle Axe
Fighting Axe -(some ppl may be surprised by this, I was surprised too)
This is probably not helpful, but really there are so many good 1h weapons, it's hard to go wrong.
edit: This is not just a list of good 1h weapons, its a list of the ones I like to use. Other people have great success with cleavers and espadas -- as well as others. Give it a try!
I find in general there are 3 types of 1h weapons. Longer swords (Italian, KAS), shorter swords (Broad Short, Grosse), and short-powerfuls (Axes, hammers, picks). They have different play styles -- so once you figure out what "class" of weapon you like you can narrow down the specific weapon from there.
If you want to try out some of these but don't have the gold to buy them all, PM me and I can lend you some!