Vayne

Unless there's some new or newly buffed champion that you don't want to fight, I'd ban her every time. She might be somewhat rare but she's worth banning. She's made to counter slow, tanky melee characters with her range, mobility and percent health damage. You can't even poke her down because she likely has life steal and will build more, so she'll just heal the damage from Q, which does percent health damage, which won't be much against her.

Wukong

He's got good damage, he's tanky, he's mobile so he's hard to poke down, and his ultimate has a knock up (meaning tenacity won't help) that also deals percent health damage. don't be overly aggressive and perhaps consider building anathema's chains early on.

Tahm Kench

He's just as tanky as you, if not more so. he can deal good damage, he has shielding and sustain to deal with poke. He can use his ult to spit you into his turret and it deals percent health damage. His Q slows you and heals him for percent missing health. His W let's him dive to a location, avoid this. It's knock up, stun, deal damage, and refund some of his mana if it hits. He can't do anything for 0.65 seconds after diving though, so you have some time to get away or attack if you dodge it. His E lets him get a huge shield or, if he hasn't taken damage for 4 seconds, possibly heal up to full. Keep hitting him when he's low. He can also swallow an ally and give them a shield, but generally people use it on enemies. I'm explaining the abilities because they're all very good and understanding how they work is very important against a good tahm kench.

Ashe

It's okay if you use the right runes and items against her, I'd even say you're slightly favored. You could consider swapping out overgrowth for unflinching. You could also get merc treads or boots of swiftness to help catch her.

Aatrox

Rush bramble vest. His passive lets his basic attack deal 5 to 12% max health damage depending on level, and healing him for the damage dealt, the cooldown gets reduced from auto attacking and hitting with abilities. The passive on his e let's him heal 20 to 30% of the post mitigation damage he deals to champions, which is increased when he's in his ultimate. Ultimate incresases attack speed by 20 to 30% and self healing (basically his passive and lifesteal) by 30 to 60%, basically don't even try to fight him in his ultimate unless you absolutely have to.

Garen

Pretty even, but respect the ult. It deals more damage the lower your health is, and it can kill you before you even get to use your ult if you wait too long. He also has good sustain. Just try to poke him down and use your ult fairly early if you think he might have his ult up. Remember tenacity reduces the duration of silence.

Fiora

I'd say she's favored early on, especially if she's going conqueror and you're not. However if you just poke her down, occasionally take safe trades, and farm, I'd say you gain the advantage as the game goes on. If she hit's six and you're still five, don't fight her, wait till you have your ult.

Nasus

Bully him. Make sure to hurt his farm as much as possible. Either kill him, crash waves into his tower, or zone him out so he can't last hit. Don't let him just farm his ability up, or he will be a major threat mid to late game. If you put a lot of pressure on him he can feel useless though. That also means you don't leave lane when you've pushed his in and let him farm to your turret, you go back and you bully him any time he might try to farm. You're the bully assigned to him and this is your duty. He also has lifesteal as his passive, starting with 10% and going up every six levels to 16% and 22% maybe get bramble vest early.

Shen

He's pretty solid but not overpowered. Try not to fight him at his sword and be aware of it's path back to him in relation to where he's standing. When he ults, you can choose to try and stop it to help your teamates, or if you choose not to or fail to stop it, then push the lane and attack his tower, punish him for leaving. Also remember at level six and onward you have an advantage, your ult helps you a lot in a fight and his doesn't.

Illaoi

If she pulls your ghost thing with her tentacle thing, don't bother fighting her unless she's low and you think you can kill her, just run away. If you get far enough away the effect ends before she can deal all her damage. Remember your minions block it, and failing that try to dodge. Respect the ult, especially in a team fight, and don't just leave the tentacles laying around, get rid of them whenever you have the chance.

Teemo

Use the speed runes, maybe even get boots of swiftness or frost gauntlet if you generally have trouble with him, but just the runes should be enough. Just keep the poison in mind, meaning don't expect to survive on a sliver of health, and pay attention to when he uses poison. Other than that you should end up being favored as the match goes on.

Jax

Don't go in on him when he's doing his spinning counter thing and try to poke him down. Other than that it's a pretty normal matchup.

Vladimir

He can deal good damage, he's too tanky to kill quickly, and he has better overall sustain than you do. He also won't run out of mana. He is rare though. Get Mercury's treads, maybe even rush Spirit Visage and Warmog's before getting your mythic if you're having trouble. He'll probably be dominant early game if the player is good. Just try to farm and try not to die. Rush bramble vest.

Urgot

He deals good damage, he's got a bit of range, and his ult can kill you if you get low before your ult could save you. Just play carefully and don't try to all in when you're low on health if he has his ult up.

Sion

What a dope. What a maroon.

Sett

Big shields, true damage, and he can throw you into a bad spot if you're fighting where you shouldn't be.

Ornn

Just make sure you're not staying in lane too long without buying, he can make items in lane so he will become more powerful without needing to go back if you aren't poking him down and making him go back.

Riven

Tristana

Kennen

Vel'Koz

Try to avoid his abilities of course, but once he uses his abilities go in and punish him, he's basically helpless without them. He wants you to stay away so he can poke you down.

Shaco

This is mostly for a shaco jungler. If he attacks you and you're at a decent amount of health in a one on one fight, just fight him. He's very easy to kill, and if you don't turn your back on him he'll deal even less damage. His only hope is the fear, and you should have good tenacity, so just bully him if he tries messing with you.

Veigar

Get the tenacity rune, get merc treads, get sunfire aegis. He'll get you in his huge stun, it's gonna happen. with enough tenacity it's useless. Try not to let him far too much on his q, it gives max ap permanently, you don't want him one shotting people mid to late game. Without his stun and good farm, he's kind of helpless.

Gangplank

He's got good sustain and he can deal good damage and poke you down.

Darius

Similar to garen his ult is dangerous, it deals true damage. Avoid his spinning attack because it lets him heal for 15% missing health. He also has a passive that gives him 15 to 30% armor penetration. He also has a passive that deals damage over time, which can hurt your sustain.