Riot should add "Would/Wouldn't like to play with him again" button.
[ I will keep updating this post for about 2 weeks or more ]
Why would I like to play with Flamers in future game , Why wouldn't I like to play with positive players.
I usually block the negative players... Hoping I wont play with them again but it doesn't work sometimes and I get to play with them again.
Riot can add reputation as well in the profile using Would/Wouldn't like to play with him again because sometimes random people add me to duo with them and I have no idea if they are raging kids or cool guys.
I'm sure everyone will use it more than the normal Honor system.
[Would/Wouldn't like to play with him again can be used once on one player so you wont be able to spam it on your friends]
Up vote if you liked the idea :) If you have anything to say feel free to comment.
Read everything please
Edit 1: Another idea is to get rewarded for high reputation with another icon (like the current system) or something else and bigger like a skin, loading screen banner or Hextech things.
Edit 2: Queue times... If you will have to wait more than 5 min that this system wont count the players at least there will be an illusion of sorting good players from bad players.
Edit 3: Q: And what happens if you apply it to everybody, every game? Or if you apply it, not too flamers, but based on ELO or how well they play? Even if it's just used for flamers, doesn't that just shift the problem to another 9 players? Why should they be punished?
Answer: you can vote on 1-3 players per game on your team only.
Edit 4: It doesn't have to be that you wont play with the same player you don't want to for 100% it just can start from 50% and grow up by 10% every time you play with him again and vote the same thing (you can remove the % by voting for "Would play with him again".
Edit 5: Another idea: As soon as you added the to "Would not play again" list they will be marked by red (or other color,icon) in the champ select so you know if you should dodge or not. (Green or other icon for would play again)
Edit 6: I really want this to work, the can add a massage or a "tip" or something similar that says if you vote too much it may increase your queue time and an option to remove your votes or change them.
Edit 7: Some people don't understand that this thing means "Would/Wouldn't like to play with him again IN THE SAME TEAM." not against them.