Ezreal

Ezreal can do really well in the jinx matchup if you have a support who can hard engage well like Leona. Jinx is vulnerable to CC as a no escape adc, so you are much safer. You do have to farm with Q's sometimes as she has longer auto attack range.

Try to use your E to dodge some sort of damage like her W or R.

Be aware that your E(teleport) costs 90 mana and so you have to think twice if you want to use it to dodge every single skillshot.

Sivir

Jinx has predictable spells. Blocking Zap! cuts Jinx's damage and prevents her from engaging. Sivir's low range, her main weakness, is the same as Pow-Pow's.

Use your spell shield wisely and literally all of her utility is gone. Jinx's E is just mana on a golden plate, her W is very predictable, and if you see her ulting just press E.

Varus

Varus's poke is more reliable. Stay behind minions and stall for 6 when Varus can snare her out of range of Pow-Pow and abuse her horrible base Attack Speed.

Draven

Draven outdamages most adcs, try to dodge her cc and then trade with here while you have both axes.

Jinx's poke isn't a very reliable one to try and stop Draven from catching his axes (unlike Caitlyn's or Varus's) because her poke stops after it hits its first target. Try to catch your axes behind minions whenever possible.

Lucian

Lucian can easily dodge Jinx Zap! (W) or Super Mega Death Rocket (R) with his Relentless Pursuit (E)

Tristana

Easy to do, just make sure your mom is off of Netflix and your support isn't DC'd the whole game.

You won't have much trouble against a Jinx, unless you don't know what you're doing, or Jinx is simply better than you in general. But as a general rule, always always avoid her skill shots, and play very aggressive (but not too much).

Twitch

Ashe

A well timed Frost Shot or Volley will slow her down in her passive A LOT.