Ditto on the chainmail armor design. The only way out is to add figure-flattering(or defining) plates (courboulli, wood, bone, beads or metal - you decide). I often end up adding plates of various materials when dealing with chain or scale - that gives more personality to the armor and breaks up the pattern, plus adds a bit of protection. (And it's not unheard of historically - the middle East and even Europe around 11th century AD, for example). Or just go for the Roman or Greek type sculpted breastplate, worn over a hauberk. Unless you want a specific era, of course, where it would be trickier.
The katana is a really fine tuned weapon, but the chopping motions are useless against plate and a samurai wouldn't be used to using thrusting motions - their fighting style was to a great extent based on the presumption, that they'd be fighting each other. I don't know how close their fencing would be to the modern kendo (with which I've dabbled), but the kendo stances are quite open and kendoka have just one thrusting attack in their arsenal - one aimed at the throat.
I know about the extra grip, but I'd prefer to avoid close quarter combat - I'd probably just go for the legs - a greatsword can seriously hinder your movement, even with a glancing blow, and Samurai armor is roughly equivalent to chain armor as far as protection goes. Unless it's the 17th century armors, which included plate breastplates and other body part armor imported from Europe.
I've never seen a greatsword-specific plate armor - all period cutouts and drawings depict the Landsknechte and other greatsword-wielding yahoos with barely more than a breastplate, as you said. I've also seen maybe 5 or 6 examples of non-symmetrical non-jousting armors, 3 of them were British, one was Spanish. Definitely not a high number, but they did exist. Mind you, they were also not extremely asymmetrical, just a higher collar on the left shoulder pad and one extra plate underneath in one occasion, in one of the others the gauntlet was relatively open because of the shield. I think the Spanish one could've had a missing or a misplaced piece, but it did look cool. It was not the norm - plate armor in general never was, even though the first example can be traced back to the battle of Troy - a 14 piece suit of bronze plates, awesomely designed but extremely heavy and used by a charioteer. Still, he must've been pretty tough.