Some of this has been alleviated, though incompletely, on the vertical side of improper overlap with Neon Black's http://forums.rpgmakerweb.com/index.php?/topic/22243-large-sprite-%E2%98%86-display-fix/.
However, a different issue crops up when using sprites that are bigger horizontally than default, which is somewhat displayed in the follow gif:

Neon Black's vertical fix simply takes part of the character's sprite, and draws it high as to give the illusion that the sprite is whole and being properly displayed, although it actually uses 2 sprites to do so. I believe something similar may be possible with the horizontal issue, however the issue crops up that it's not as easy to grab what a tile should look like, and displaying it higher as to overlap the sprite.
So, the point of this topic is to ask, how would one go about fixing improper sprite overlap on the horizontal level.