Originally Posted by Sabinfrost
The set up I generally use is start Boots + 3 health potions, grab Fiendish Tome, Berserker Greaves (I use Sorcerer's, Berserker's is more typical), Malady, Nashor's Tooth, Wit's End then you'll just build whatever the game requires. Good options include Banshee's Veil (her ult doesn't stop CC), Ionic Spark and Blood Razor (both solid for on-hit).
My only objection is that your whole build is, for the most part, early/mid game items. When I play Kayle, (At solo top, just because she wins trades with literally everyone but Jax), I start with Boots and three health potions. On my first back, I pick up two Doran's Blades, then on my next back I want a BF sword. Then I finish either an Infinity Edge, or a Black Cleaver depending on what the other team is building. Then I grab a Phantom Dancer. From there, I start stacking things just to keep me durable. Frozen Mallet is really annoying on Kayle, because I'm pretty sure it counts her E attacks as melee, so the permaslow is wonderful. Wit's end, as said by the other person, is a solid option on Kayle.
Of course, my whole idea for playing her came from a guide by Rincent who really showed exactly how to play her. Here is a link to it. http://solomid.net/guides.php?g=22452