D&D 5E How would you classify these Samurai armor types?

[Slit518]

They're pretty standard for armour: no reason for different stats compared to what is in the PHB. All armour offers protection and mobility: it would not exist if it didn't.
The video on the site didn't show anything that you couldn't do in a set of plate for example, which offers more coverage.

In sort: no, I don't think that you need to try to make new, superior entries in the armour chart. Just pick the armour you want and style it however you want.

That is true. There are the tales of that one knight (I forgot his name), who was said he could do sprints on the battlefield in his full-plate, climb ladders on the underside, and even do acrobatic feats.

 

[Satyrn]

That is true. There are the tales of that one knight (I forgot his name), who was said he could do sprints on the battlefield in his full-plate, climb ladders on the underside, and even do acrobatic feats.

Bruce Wayne?

 

[Slit518]

Bruce Wayne?

This time around, the Swiss researchers recreated the training regimen of a famous French medieval knight named Jean le Maingre, a.k.a. Boucicaut, who racked up a number of military victories until he was captured by the English at the Battle of Agincourt in 1415. There is a written record of his training regimen, which included jumping onto a horse, running, swinging an ax or hammer, climbing a ladder from the underside using just his arms, and scaling walls—all while wearing his full-plated armor. Apparently few of his contemporaries could match him in sheer strength and stamina.

http://gizmodo.com/new-study-busts-the-myth-that-knights-couldnt-move-well-1783051334