[logging] How do I get logs/details of ansible-playbook module executions?

Using callback plugins, you can have the stdout of your commands output in readable form with the play: gist: human_log.py

Edit for example output:

 _____________________________________
< TASK: common | install apt packages >
 -------------------------------------
        \   ^__^
         \  (oo)\_______
            (__)\       )\/\
                ||----w |
                ||     ||


changed: [10.76.71.167] => (item=htop,vim-tiny,curl,git,unzip,update-motd,ssh-askpass,gcc,python-dev,libxml2,libxml2-dev,libxslt-dev,python-lxml,python-pip)

stdout:
Reading package lists...
Building dependency tree...
Reading state information...
libxslt1-dev is already the newest version.
0 upgraded, 0 newly installed, 0 to remove and 24 not upgraded.


stderr:

start:
2015-03-27 17:12:22.132237

end:
2015-03-27 17:12:22.136859