Because it went like this. Kassadin was the most powerful Assassin in the game. So, because of how popular he was and because Riot used to listen to us, they nerfed the life out of him. Then, they gave him a small rework. It took them almost 2 years to realize that the rework didn't make him any stronger or popular. They then started compensations and buffs. Took some power from his Q and lowered its cost. Raised the % AP damage on his W. Let his E be. And had to drastically lower his R's cost and gave it AP as a bonus (the cost use to be 60(^16 if at final stack) then lowered to 50 then lowered to 40 but raised back to 50 after the AP bonus). It took him years of constant work to get as balanced as he is. He is now a true assassin. But Riot will see this and soon change him. Make him "imperfect" again just like how they're changing Vel'Koz even though he's fine as is.
cannot be like them because her burst is too much and she has little to fall back on for safety. With no safety, she can't get in and out like she should. Riot has not addressed this, and it could be addressed if they just lowered her R a little and allowed it to be cast on allies. In and out cast.
has way too much CC and safety. Having bonus damage on his passive should mean less damage on his Q and E. But, Riot and many don't see it that way. He has to power to get in and out safely, but the amount of damage he deals is more than needed. If tank items didn't have damage bonuses, maybe assassins would have to figure something different or wouldn't deal as much damage.
is far too weak. No one knows what to do with her. Honestly, just allowing her ult to deal the % health damage on full health would make her niche again. She would be just as balanced as Kassadin, but people are too scared of a jungle Evelynn (who can be seen with wards) popping up out of nowhere and taking the % health.
is like Ekko and has great safety but also has a lot of raw power. Able to deal tons of damage within turret range and escape with just his Q and/or E. His E could be nerfed of the damage, at least, since he becomes intargetable. No one is sure what to do to him either.
is hard to say. I'd say she's there at being close to balanced perfection, but not as much as Kassadin. Her ult is not hard to fight against, and she has great escape and initiation. Her power isn't too overpowering. I'd say she's still very close.
is the first and prime example of a champ with lots of raw power and has a lot of safety. Able to deal 300 base damage by dealing damage from her Q + W/E/R means she has a lot of power. That mixed in with the fact her ult is free and has a low CD makes it very strong. If anything, I would nerf the CD on her ult to make it so it isn't like a Yasuo ult that can be used again and again.
also has raw power and little to no drawbacks. Unavoidable Q, healing W, free bonus damage/free true damage active, and a massive MS+AS boost (that's un-sllowable). If anything, Yi makes many games unbalanced. Even if your team is slaughtering the enemy, just having a Yi makes things hard to face. Not sure why deaths lower his CD by certain %s and why it lengthens his ultimate. With a ultimate that is far superior to Olaf's R (which loses the armor and magic resist after activated) that may give 60/70/80 bonus AD, some MS when going towards a enemy, and is unable to be slowed or stopped, it only lasts for about 6 seconds. Master Yi's lasts 10 seconds, and can be increased per champion kill to last up to +20 seconds at most (+4 per kill). He's a marvel that has yet to be actually nerfed (besides his W) due to the power he can just send out after using his ult.
is in a decent place. Her Q was nerfed to not instantly kill after two good shots. Her W was nerfed as well. In fact they also made bonuses to her panther form so that it was better to work with. I must say that she's also balanced now and is in the same boat as Kassadin.
is also pretty balanced. Not dealing too much damage and has great initiate, but seems to lack in getting out. Though he can fear an opponent away, its still hard to see how Nocturne can escape as easily as many others on the list.
is hard to say. He has very strong abilities but they are not overpowered. His passive requires stacks on killing enemies and they aren't too game changing. His ability to get out of a losing fight is iffy at best. He can go invisible, and get away quickly, and snare (or trap) enemies but still... He's on the fine line of balanced though he can deal a great deal of burst.
is probably the best Assassin. Because he was perfect before Kassadin reached perfection. He has great initiation and great safety. He isn't too strong and does what an assassin should do. His kit is well balanced, and if played right you can even beat a Master Yi.
seems like he has had the roughest time as an assassin. Not gaining much over his time in League and losing much. He seems to be close to balanced, but (to me) seems just a tad on the weaker end. Not that he's Evelynn weak, but because he uses AD, he has had a good bit of nerfs over the years. He does have a little safety, but not much in general. It would be nice if he had some safety in his kit besides invisibility. The dude has a blink but no shields or MR/AR boosts, no heals, nothing. He risks a lot to get in close only to deal somewhat good damage. His W could use a buff.
might be the hardest to balance. But, he has great safety and initiation. He is much better than Akili, but seems to have no need for conserving energy. He is able to spam his abilities more than you would like, but he isn't impossible to avoid. Though he is hard to catch.