Lux has counterplay but I still hate her as a champion.
As for champions that have good counterplay... I feel Nami does.
has a heal and a speed up as her passive and her bubble but her main form of CC(her bubble) is actually pretty hard to land. Not to mention, she doesn't ever do stupendous amounts of damage, even if she does build Frostqueens and is more aggressive in lane. She's squishy and low mobility so if you actually catch her(which I admit can be hard; she is a kite monster and I honestly wish she could be played as more than just a support), she's going to blow up faster than a firework on the fourth of July. She has clearly defined weaknesses and there are definitely bad match ups for her. Her laning phase isn't as strong as some supports but its not massively weak either. Overall, I feel she's a very well designed support champion.