Best Competitive Ranking System?

League of Legends

If you bring the kill/death counter to Elo system people will play solo and just think about themselves rather than team or wining. As i played a lot of hours LoL i could say a really good player can lead their team or could help at some lacking points. But i am not a good player i am just a flamer. :(

You sound a little salty. While I do agree that it is better when it is evident where you stand on the progress line I do not agree that it should lower your chances on getting higher rank lowering your enjoyment of the game in the process. I believe that the whole "I lost because of my team mates, why does it not take my kills into account" is wrong since it is a team game to begin with and you both lose and win as a team. If you have lost you probably did not do well enough to deserve a win (excluding situations like having a leaver/playing against a blatant cheater). In the end you will get higher rank if you deserve it, eventually.

As for the system I consider best, well, there is no perfect system as they are all flawed in some sense and rankings for team game can never capture the whole essence. What I like the most are probably elo systems which are transparent - you can clearly see your elo as it was for example in League of Legends before they put in the division system.

The Élő system was designed to rank players in 1v1 scenarios, so it is not really good for team-based scenarios unless modified. In this regard, even though it is still unbalanced by letting teams on the top be almost unshakeable, the FIFA rating system is more fair as it also calculates based on in-game statistics like number of goals scored by each team.

Well, I can't play competitive games since it is bad for my mood and health. So I can't comment on which game has the best system. But I think your argumentation is a bit one-sided. Kill streaks, assists, deaths not only depend on your skilll and your teammates but also on the enemy team. Who says it is your skill and not just the opposing team playing really bad?
Also most of the data is useless. If your skill is really good it should also translate into victories. You can blame your team one or two times but not all the time. If one is much better than the rest he should also be able to carry the team. The problem is those systems need input data. This means you need to play a lot of games which means that in lower leagues or with fewer games the matchmaking/ranking can be off. It will be better the more you play. Additionally those systems (wether we like it or not) are designed for us to get 1:1 win/loss ratio since it should then be balanced. Just looking at the win/loss ratio and balancing after this is normally enough for a fair matchmaking. Although I don't know if other variables are really neglected.

I stopped playing csgo after a match of 6 smurfs and 1 cheater: shameless "aimbotting" and spamming the url of a site (cheats selling)

(that was in LE)