If you want AoE damage in a teamfight, don't unlock Zed. Yeah, he has a little AoE but if your enemy is letting you get that close to multiple people then you've probably already won the fight.
Katarina has 3 AoE abilities, and boy do they chunk people. This champion is easily capable of 1v5 or just any teamfighting and has a really nice 100-0, as well as no mana costs, but as you get into higher skill levels, people will CC you more and you can't really do anything about it.
If you want to 100-0 a single target with as high success rate as possible, pick Zed. Between a slow (or two, depending on the item build) and 2 gapclosers, even if they run from you you're pretty good at chasing. However, Zed late game is often a one trick pony: after his initial ult nuke, he's basically a free kill if he is cced for like 2 seconds.
That being said, if you want to repeatedly nuke things every 55 seconds or so, I'd recommend Talon totally not because I main him. He roams like Zed and Katarina, has a ridiculous 100-0 if he gets his full combo out, a good ability kit for escaping, a point and click gapcloser thqt can teleport you to the enemy ADC from out of nowhere, as well as a slow and a movement speed boost, nd about as much AoE as a Twitch ult with a Runaans (read: a lot.) He also has a really great escape (R to win boys) and is infurirating to gank when he has his ult, which I have no problem clearing CS with late game if there's minions in my base due to its near nonexistent CD. However, Talon DOES use mana, and boy does he use a lot of it. Everyone experiences the horrible feeling of being out of mana and crying at your turret as you get rekt by poke at at least one point while playing him.
Also, Zed and Katarina are ridiculously popular mid laners, and Talon can lane against them both, actually being one of the few counters to Zed (ult when Zed ults, he can't damage you while he can't see you). +1. And Katarinas have a tendency to stand completely still which is Talon's favorite.
Of course if you've already ruled him out by all means play one of the others, but you seem to like Katarina and Talon is dsimilar to her in a few ways. (Gee, I wonder why.)