This plugin adds a unite.vim source that lists VCS file-lists as candidates.The plugin automatically detects VCS program of the project. Supported VCS programs are git, hg and svn.
You can add following mapping to your .vimrc file.
nnoremap <leader>fv :<C-u>Unite -start-insert -no-split -buffer-name=file_vcs file/vcs<CR>
Please note that current directory of your vim buffer/tab must be the root directory of the project to get the candidates.