Why Katarina isn't OP/Broken
Okay, so plenty of people talk about Katarina and how she's so OP. I'm not going to say she's underpowered or anything, and I get that she has no resource and pretty low cooldowns so she can just spam, but to be totally honest here, she has nothing besides damage. She has one escape and that's only if she has wards available or already placed, she has no CC or utility(buffs, heals, etc.), and she's pretty much entirely damage. Granted, damage is a lot, but she's a team fight assassin, what do you expect? For her NOT to do damage? She might as well not be a character if she doesn't, right?
So, you might say, "But she does tons of multi-target damage!", but she also doesn't have utility, escape(unless she either gets a kill or never initiated in the first place), and so on. Lets take some champs here for instance. LeBlanc. She does burst damage damage, and has tons of mobility, plus CC(root). Yasuo. He has a wind wall that blocks all projectiles, as well as tons of mobility and hard, multi-target CC(third Steel Tempest knockup). Evelynn. She's invisible most of the time so not many people can kill her even if they're strong enough. She can be watching a target without them even knowing, so she can be a scout(A.K.A. utility). She has tons of damage with her full kit, she has a shield, an AOE max-health-percentage damage plus shield ultimate, an escape and chase, and multi-target main ability(hate spike). Shaco. He has an AOE fear that can be placed somewhere, he can sneak up on someone or escape with his Q, he can bait out abilities and maybe even summoner spells with his ultimate, and he has a slow plus a chance to make opponents miss him. Nidalee. She has a crazy-damage spear that allows her to initiate, as well as a bushwhack for gaining limited sight, as well as initiating on people, a heal for any ally, bunch of waveclear, and mobility.
Then there are tons of other assassins that have both damage, utility, and CC. Yet Katarina alone has none, just damage. Tons of multi-target damage, granted, but still, only damage.