About Zhonya's active effect
I think it's pretty much agreed upon that the active for Zhonya's needs some reworking or to be deleted entirely.
My thought on how to rework it would still leave it an anti-AD item, but make it much more vulnerable to AP as a trade off.
Change the active from "Stasis" to "Ethereal".
Ethereal Status: Cannot Attack (disarm like Amumu's ultimate debuff). Gain 100% dodge for the duration. All Magic Damage on the target is doubled for the duration. Physical damage spells still do normal damage.
With coding more or less exact to this wording, Physical damage casters can still do their damage against Zhonya's users, even though their damage is not increased against an Ethereal target. AP champions would then be buffed in terms of dealing with Zhonya's users because they would have all of their damage increased. Finally, with the removal of "immune to damage", Zhonya's users no longer have a 1.5 sec self-invulnerability to protect them from anything and everything.
With the addition of the "Disarm" and "Ethereal" status effects, it would only be a small addition to burden of knowledge that would affect players as well, since they are relatively straightforward effects. We could even expand on those towards skills for other champions.