Now Zed is rather squishy so I build him with some tankiness and mobility.

Mobility boots.
Youmuu's Ghostblade.
Bloodthirster.
Trinity Force.
Maw of Malmortius.
Sunfire Cape.

This with full stacks gives me:
Attack: 396
Ability Power: 30
Attack Speed: 1.228
Movement Speed: 432
Armour: 144
Magic Resist: 119
Health: 2723