A healthy assasins shouldn't have all the burst failproof and totally instant(like talon and to some extend akali), and if it is a 100-0 pattern, it shouldn't be to reliable and needs to give a certain window for the opponents.
The classical idea of an assasin coming out of nowhere, instagibbing a target and vanishing again simply can't be apllied to lol, as a fast 100-0 burst never is healthy. See talon or rengar that prettymuch follow that sterotype...
As a result, assasins need fallback patterns, things that keep them relevant if they don't oneshot a target, that allow them to go for a second round to finish the job. They need tools to stay alive/get out of a fight and in again without to much downtime without relying on raw tankiness. Core for that imo would be looking at stealth as a **defensive **mechanics, mostly removeing the hardcounter of truesight. Offenisve stealths like rengar or twitch would need to be changed to something that has more counterplay, akin to eve's passive.
Kah has great potential to a healthy assasin, especially with the lower cds on pbe. What he would need is lower damage vs isolated to prevent the oneshots, but therefor some buffs to the ult, increaseing the duration by 0.5sec, reduceing the cd between ult casts or adding a stack system, and maybe a buff to his base tankiness or W heal. But with his passivet and the low cd Q, he has the tools to kill targets with and extendet pattern rather than a oneshot combo, and with his ult he can avoid focus between the Q cds.
Zed also has great potential to a healthy assasin, if his E would deal a bit less damage but have 3sec cd, meaning he has less burst and waveclear, but can even without alot cdr land a second E duering ult, and if his Q would have less damage but deal full damage for aditional hits from shadows, so he actually needs to hit double shurikens for alot damage, which adds more counterplay to his burst and limits his poke/waveclear.
Maybe even bring back the 1 sec delay on the ult re-use.
As a result, he should have to either land multiple shurikens after ult or stay around for a second E for the kill combo, which allows more counterplay, and his laneing should be less powerfull due reduced poke and waveclear.
I also think the damage of ranged champs needs to be toned down overall, if you go in as an assasin and don't instagib your target right now, you most likely die 2 sec later if it even needs that long.
As for right now, i'd say ekko is the healthies assasin we have, unless really fed, he does not burst 100-0, he relys on hit n run to get opponents low, baiting him into a ult+w for full impact, though the stunduration and ult damage certainly could be lowerd in favor of some other buffs.
And even when he's fed enough for oneshot, he still needs e+q+secondQ or another AA, which gives a small window to dash away or cc him.
So all in all he fits the bill, no 100-0 pattern but enough tools to somewaht savely stay around for a second round. Only the mass destruction potential of his W+ult is imo a bit to much for an assasins.