Most of the things of such kind are available as vim plugins (for the 'open file without path' thing, see e.g. http://www.vim.org/scripts/script.php?script_id=8

Most of the things of such kind are available as vim plugins (for the 'open file without path' thing, see e.g. http://www.vim.org/scripts/script.php?script_id=858 http://www.vim.org/scripts/script.php?script_id=858) - you can then remap those new commands to keys/shortcuts.