I have finally got the vim with airline plugin to wok on windows with conemu thanks to this topic: https://github.com/bling/vim-airline/issues/513
Almost everythink is good right now except some problems with colors in the airline when screen is scrolled. Check below gif:
I'm looking forward to find the culprit. At the beginning result was worse, but I commented everything that was reduntant. In spare time I will check each and every single setting the the vimrc file. But still can't get the airline to hold his colors.
My vimrc: https://gist.github.com/lkurylo/aa947a1ae6d7185aa064
It's been fixed in ConEmu 151025