Note: this isn't about buying items to beat certain champs, this is about counterpicking various champs.
Poppy and Akali excel at countering Ashe because of their very strong bursts.
Morgana is the top Nidalee counter, simply put. Black Shield stops spears and Cougar attacks from killing you, while you can destroy Nidalee with your stronger burst.
Blitzcrank has 3 ways of stopping Nunu's ultimate. Honestly, if you're a Nunu, Blitz will make your life hell. Cho'Gath also annoys Nunu to no end.
Mordekaiser has no problem dealing with Vladimir, in the lane or out of it, thanks to his shield. Also, his ult steals a portion of HP, and since Vlad is based on HP stacking and Morde on Armor/MR stacking, you easily outregen Vlad's damage.
Garen is as good as it gets to a Zilean counter. Your W can mitigate bomb damage, while your ult and Q shut down Zilean's attempts to dramatically ulti low HP people.
this list has nothing to do with counterpicking.
nunu is not the only one with a channeled spell.
mordekaiser has no problem dealing with anyone.
zileans bomb damage can be reduced/absorbed by any shield/dmg reduction,same goes for nidalee.
garen will not get in the range to attack a smart zilean.
you are saying,that akali and poppy kill ashe cuz they have a burst?
okay,a corki who autoattacks ashe the whole time without getting attacked kills her in the end.that does not make him a counter to ashe.
when poppy or akali try to burst down ashe in the teamfight they have to pass 3 people before getting to her,since they are melee. have fun doing that,while being slowed by ashe.
this whole list is crap.