You can uninstall or removes an installed libavcodec53 package itself from Ubuntu 12.04 LTS (Precise Pangolin) through the terminal,
$ sudo apt-get remove libavcodec53
If you would like to remove libavcodec53 and it's dependent packages which are no longer needed from Ubuntu,
$ sudo apt-get remove --auto-remove libavcodec53
If you use with purge options to libavcodec53 package all the configuration and dependent packages will be removed.
$ sudo apt-get purge libavcodec53
If you use purge options along with auto remove, will be removed everything regarding the package, It's really useful when you want to reinstall again.
$ sudo apt-get purge --auto-remove libavcodec53