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In European football, all clubs start with 0 points, and the ranking considers the results of the last 5 years. However, their ranking is based on participation in only 2 tournaments.
We have more than 10 tournaments every year.
We can create a ranking using this approach, which is essentially what Vladimir is proposing.
Let's assume a base ranking of 1000, and the ranking will not fall below this number.
The ranking will consider the results of tournaments from the last 3 years.
(But, as Joker said, we need a tournament calendar to avoid having tournaments where either the middle of the group stage or part of the playoffs falls on the new year).
Moreover, we can create such a ranking now based on the results of 2013-2015.
And accordingly, after 2016, the ranking will consider the years 2014-2016, and 2013 will be excluded.
In this case, the seasonal league will be considered as a separate tournament, and after its completion, ranking points will be added for the top 20, for example.
As a result, we will get an up-to-date tournament ranking based on approximately 40 tournaments from the last 3 years.
But this approach is radically different from the current one.