The .inputrc configuration file to enable a zsh-like completion mechanism in bash.

.inputrc

##
# The .inputrc configuration file to enable a zsh-like completion mechanism in bash.
# Features:
#   - Press tab to cycle throw all possible completions in a case-insensitive fashion.
#   - Use the up and down arrow to search throw the history for all matches of the typed string.
# 
# DISCLAIMER: Use only when you cannot install zsh :)
#
# Put together by lucarin91.
##

# If set to ‘on’, Readline performs filename matching and completion in a case-insensitive fashion. 
set completion-ignore-case on

# This alters the default behaviour of the completion functions. If set to ‘on’, words which have 
# more than one possible completion cause the matches to be listed immediately instead of ringing the bell.
set show-all-if-ambiguous on

# Map tab to cycle through all the possible completions.
TAB: menu-complete

# Map up-arrow and down-arrow to allow the search for completions to the current line from your history.
# e.g. type “git” and then hit control-p to cycle through all the recent git commands.
"\e[A":history-search-backward
"\e[B":history-search-forward

To "install" the configuration just put the file .inputrc inside your home directory.
In a single command:

mv .inputrc .inputrc.backup; curl -O https://gist.githubusercontent.com/lucarin91/18c4c4636eae4175c9253a127c29a2ec/raw/f62c589431feb168845ecabae36b81994bafa29b/.inputrc