Removing files from a specific commit

Suppose we have the following commits and we want to remove files from the second commit.

~# git log
commit 5e1552bfada408e4e3c86f1d68a50f5be71ab64a
Author: Commiter Name <commiter@git.com.br>
Date:   Fri Apr 22 14:58:59 2016 -0300

    Last commit

commit 3798da6a72e463c7a266518cf898643febab04e3
Author: Commiter Name <commiter@git.com.br>
Date:   Wed Apr 20 21:09:36 2016 -0300

    Second commit

commit 9b8dfcab524810e4ddad2b9516c323a9a6ab3857
Author: Commiter Name <commiter@git.com.br>
Date:   Wed Apr 20 20:57:06 2016 -0300

    First commit


We do git rebase -i with the id from the First commit

~# git rebase -i 9b8dfcab524810e4ddad2b9516c323a9a6ab3857

pick 9b8dfca First commit
e 3798da6 Second commit
pick 5e1552b Last commit

# Rebase 3cc8e8a..5e1552b onto 3cc8e8a
#
# Commands:
#  p, pick = use commit
#  r, reword = use commit, but edit the commit message
#  e, edit = use commit, but stop for amending
#  s, squash = use commit, but meld into previous commit
#  f, fixup = like "squash", but discard this commit's log message
#
# If you remove a line here THAT COMMIT WILL BE LOST.
# However, if you remove everything, the rebase will be aborted.
#

mark to edit
e 3798da6 Second commit


~# git reset --soft HEAD^

Then reset the unwanted files in order to leave them out from the commit:

~# git reset HEAD path/to/unwanted_file

Now commit again, you can even re-use the same commit message:

~# git commit -c ORIG_HEAD