Huh, I hadn't come across that name for the Swiss mercenaries before. Yes, though, there was an intense rivalry between the Swiss and German mercenaries. Initially, the Swiss were generally thought of as the most elite mercenaries in Europe-however, after one battle (it's been a while, I don't recall which one) a force comprised of Germans defeated the esteemed Swiss pretty handily-and the German's had habits that were much more useful than the Swiss's to employers. Namely, the Swiss would only sell out to one side, whereas the Germans would not only sell their services to two conflicting sides in a war-even a single guild would sell services to both forces. In essence, the Germans were 'I'm a soldier who will do anything if you pay me' with the strength to back it up epitomized, whereas the Swiss were more the true, though less convenient, elite.

I do know that they would often have greaves, though, which is missing on those-perhaps those are from a later year. They look almost late 16th century or even 17th century, and they're wielding what looks to be halberds, whereas the Swiss were particularly famous for their skill with pikes.
As for landsnechkts, they were much more individualized than the Swiss mercenaries were in terms of equipment. They usually bought their own equipment and worked in a wider variety of guilds and so on, thus, their equipment and non-battlefield clothing varied a lot more as far as I can tell. Myself, I think their aesthetic style look as ridiculous as a clown-to each their own, though.

Anyways, for my favorites, for chest, brigandine, for helmets, certain sallets and close helmets, waist, fault or tassets. For clothes, I like clothes (and especially torso clothing) that are very thin and hang close to the body, especially at the side-so the wide, draped styles common among many of the nobles at the time I find very not to my taste. I also prefer narrow shoulders aesthetically, so the wide, masculine shoulder styles also aren't an element I enjoy, either.

For armor-there's a lot of things there that I don't know about, actually. Generally, I have more of a general view of things, rather than too specific details. Armor, I'm actually also much less familiar with than with weapons, so there's that as well.