May be allready someone create this and in the internet we can find some articles?
Or may be someone can tell about it more?
I already create own registration (because in my project it is very difficult logic with few steps and many registration types), but I don’t want write login from scratch, becouse login is e-mail and password from one database table.
Take a look at the Yiii2 guide.
But there is only how to create filter logic. I need to rebuild basic template authorisation for checking users with database, not with $users array
You can try this. You will get everything working out of the box, and more than you expected 
I was rebuilded standart model and controller, and create $users array with data from database. So i just included own code into allready working code and all works good