Here's what happens when I try to remove libxml2 from my system ...

gistfile1.txt

$ sudo apt-get remove libxml2
Reading package lists... Done
Building dependency tree       
Reading state information... Done
<snip>
The following packages will be REMOVED:
  adobe-flashplugin apturl avahi-daemon avahi-utils banshee baobab bind9-host
  bluez-gstreamer brasero brasero-cdrkit caribou cinnamon cinnamon-bluetooth
  cinnamon-control-center cinnamon-screensaver cinnamon-session
  cinnamon-settings-daemon cmake colord default-jre dnsutils dropbox emacs24
  eog evince evolution-data-server file-roller firefox fluxgui gcolor2
  gconf-defaults-service gconf-editor gconf-service gconf-service-backend
  gconf2 gcr gdebi gedit geoclue geoclue-ubuntu-geoip gettext gimp
  gimp-help-en gir1.2-accounts-1.0 gir1.2-caribou-1.0
  gir1.2-cinnamondesktop-3.0 gir1.2-clutter-1.0 gir1.2-ebook-1.2
  gir1.2-ebookcontacts-1.2 gir1.2-edataserver-1.2 gir1.2-gconf-2.0
  gir1.2-gdata-0.0 gir1.2-gkbd-3.0 gir1.2-gnomebluetooth-1.0
  gir1.2-gnomedesktop-3.0 gir1.2-gtk-3.0 gir1.2-gtkclutter-1.0
  gir1.2-gtksource-3.0 gir1.2-muffin-3.0 gir1.2-nmgtk-1.0
  gir1.2-packagekitglib-1.0 gir1.2-peas-1.0 gir1.2-rsvg-2.0 gir1.2-soup-2.4
  gir1.2-timezonemap-1.0 gir1.2-totem-1.0 gir1.2-totem-plparser-1.0
  gir1.2-vte-2.90 gir1.2-webkit-3.0 gir1.2-wnck-3.0 gir1.2-xkl-1.0
  gkbd-capplet gksu gnome-bluetooth gnome-calculator gnome-color-manager
  gnome-disk-utility gnome-do gnome-do-plugins gnome-font-viewer
  gnome-icon-theme gnome-icon-theme-full gnome-icon-theme-symbolic
  gnome-keyring gnome-panel gnome-power-manager gnome-screenshot
  gnome-session-bin gnome-session-canberra gnome-settings-daemon
  gnome-system-log gnome-system-monitor gnome-terminal gnome-terminal-data
  gnome-themes-standard gnome-user-share google-chrome-beta gparted grdesktop
  gstreamer0.10-alsa gstreamer0.10-ffmpeg gstreamer0.10-gconf
  gstreamer0.10-nice gstreamer0.10-plugins-bad
  gstreamer0.10-plugins-bad-multiverse gstreamer0.10-plugins-base
  gstreamer0.10-plugins-base-apps gstreamer0.10-plugins-good
  gstreamer0.10-plugins-ugly gstreamer0.10-pulseaudio gstreamer0.10-tools
  gstreamer0.10-x gstreamer1.0-clutter gstreamer1.0-nice
  gstreamer1.0-plugins-bad gstreamer1.0-plugins-good gthumb
  gtk-recordmydesktop gtk2-engines:i386 gtk2-engines gtk2-engines-murrine:i386
  gtk2-engines-murrine gtk2-engines-pixbuf:i386 gtk2-engines-pixbuf guake
  gucharmap gvfs-backends gvncviewer hexchat hplip ia32-crossover ia32-libs
  ibus-gtk:i386 icedtea-7-plugin icedtea-netx icedtea-plugin ideviceinstaller
  ifuse intltool-debian istanbul lib32nss-mdns libaccounts-glib0
  libaccounts-qt5-1 libappindicator0.1-cil libappindicator1 libappindicator3-1
  libarchive13 libatk-wrapper-java libatk-wrapper-java-jni libbind9-90
  libbluray1 libbonobo2-0 libbonoboui2-0 libbrasero-media3-1
  libcanberra-gtk-module:i386 libcanberra-gtk0 libcanberra-gtk0:i386
  libcanberra-gtk3-0 libcaribou0 libcinnamon-control-center1
  libcinnamon-desktop0 libclutter-1.0-0 libclutter-gst-2.0-0
  libclutter-gtk-1.0-0 libcmis-0.4-4 libcolord-gtk1 libcroco3 libdns100
  libebackend-1.2-7 libebook-1.2-14 libebook-contacts-1.2-0 libecal-1.2-16
  libedata-book-1.2-20 libedata-cal-1.2-23 libedataserver-1.2-18
  libevdocument3-4 libevview3-3 libfarstream-0.1-0 libfile-mimeinfo-perl
  libgail-3-0 libgail-common:i386 libgail-common libgail18 libgail18:i386
  libgconf2.0-cil libgcr-ui-3-1 libgdata13 libgegl-0.2-0 libgeoclue0
  libgimp2.0 libgksu2-0 libglade2-0 libglade2.0-cil libgnome-bluetooth11
  libgnome-desktop-2-17 libgnome-desktop-3-7 libgnome-vfs2.0-cil libgnome2-0
  libgnome2-bin libgnome2-common libgnome2.24-cil libgnomecanvas2-0
  libgnomedesktop2.20-cil libgnomekbd8 libgnomeui-0 libgnomevfs2-0
  libgnomevfs2-common libgphoto2-6 libgpod-common libgpod4 libgrip0
  libgssdp-1.0-3 libgstreamer-plugins-bad0.10-0
  libgstreamer-plugins-base0.10-0 libgstreamer-plugins-base1.0-dev
  libgstreamer0.10-0 libgtk-3-0 libgtk-3-bin libgtk-sharp-beans-cil
  libgtk-vnc-2.0-0 libgtk2-perl libgtk2.0-0 libgtk2.0-0:i386 libgtk2.0-bin
  libgtk2.0-cil libgtkglext1 libgtkmm-2.4-1c2a libgtkmm-3.0-1
  libgtksourceview-3.0-1 libgtksourceview2.0-0 libgtkspell0
  libgucharmap-2-90-7 libgupnp-1.0-4 libgupnp-igd-1.0-4 libgweather-3-6
  libgxps2 libimobiledevice-utils libimobiledevice4 libindicator3-7
  libindicator7 libisc95 libisccc90 libisccfg90 libkeybinder0 liblangtag1
  libm17n-0 libmagick++-dev libmagick++5 libmagickcore-dev libmagickcore5
  libmagickcore5-extra libmagickwand-dev libmagickwand5 libmetacity-private0a
  libmono-addins-gui0.2-cil libmuffin0 libnautilus-extension1a
  libnemo-extension1 libneon27-gnutls libnice10 libnm-gtk0 libnotify0.4-cil
  libnss-mdns libnss-mdns:i386 libnss-mdns-i386:i386 libopencv-contrib2.4
  libopencv-highgui2.4 libopencv-legacy2.4 libopencv-objdetect2.4
  libpackagekit-glib2-16 libpanel-applet-4-0 libpeas-1.0-0 libplist1
  libpurple0 libqt53d5 libqt5gui5 libqt5location5 libqt5location5-plugins
  libqt5opengl5 libqt5opengl5-dev libqt5positioning5-plugins
  libqt5printsupport5 libqt5quick5 libqt5quickparticles5 libqt5quicktest5
  libqt5sensors5-dev libqt5webkit5 libqt5webkit5-dev libqt5widgets5
  libqtwebkit4 libraptor2-0 librasqal3 librdf0 libreoffice
  libreoffice-avmedia-backend-gstreamer libreoffice-base libreoffice-base-core
  libreoffice-base-drivers libreoffice-calc libreoffice-common
  libreoffice-core libreoffice-draw libreoffice-impress
  libreoffice-java-common libreoffice-math libreoffice-report-builder-bin
  libreoffice-writer librsvg2-2 librsvg2-common librsvg2-dev libsane libsexy2
  libslv2-9 libsoup-gnome2.4-1 libsoup2.4-1 libtimezonemap1
  libtotem-plparser18 libtotem0 libusbmuxd2 libvisio-0.0-0 libvte-2.90-9
  libvte9 libwebkit2gtk-3.0-25 libwebkitgtk-1.0-0 libwebkitgtk-3.0-0
  libwnck-3-0 libwnck2.20-cil libwnck22 libwxgtk-media2.8-0 libwxgtk2.8-0
  libxklavier16 libxml2 libxml2-dev libxslt1-dev libxslt1.1 libyelp0 lintian
  mdm metacity mint-artwork-common mint-artwork-gnome mint-common
  mint-meta-cinnamon mint-meta-codecs mint-meta-core mintbackup mintdrivers
  mintinstall mintlocale mintnanny mintsources mintstick mintsystem mintupdate
  mintupload mintwelcome mousetweaks nemo nemo-fileroller nemo-share
  network-manager network-manager-gnome network-manager-openvpn-gnome
  network-manager-pptp-gnome notification-daemon openjdk-6-jdk openjdk-6-jre
  openjdk-7-jdk openjdk-7-jre pidgin pidgin-libnotify pipelight-multi
  policykit-1-gnome postgresql postgresql-9.3 postgresql-contrib
  postgresql-contrib-9.3 printer-driver-postscript-hp python-appindicator
  python-aptdaemon.gtk3widgets python-gconf python-glade2 python-gnome2
  python-gnomekeyring python-gst0.10 python-gtk2 python-gtksourceview2
  python-libxml2 python-lxml python-notify python-opencv python-pyatspi
  python-pyatspi2 python-qt4 python-sexy python-ubuntu-sso-client python-vte
  python-webkit python-wxgtk2.8 python3-aptdaemon.gtk3widgets
  python3-aptdaemon.pkcompat python3-lxml python3-pyatspi python3-uno
  python3-virtkey qt5-default qtbase5-dev qtdeclarative5-dev qtlocation5-dev
  qtpositioning5-dev qtsensors5-dev sane-utils seahorse sessioninstaller
  shared-mime-info signon-plugin-oauth2 signon-ui simple-scan
  ssh-askpass-gnome ssvnc synaptic system-config-printer-gnome terminator
  thunderbird thunderbird-gnome-support thunderbird-locale-en
  thunderbird-locale-en-us tomboy totem totem-mozilla totem-plugins
  totem-plugins-extra transmission-gtk ubuntu-system-adjustments unetbootin
  upower ure usbmuxd vino virtualbox virtualbox-dkms virtualbox-qt vlc vlc-nox
  vlc-plugin-notify vlc-plugin-pulse wallch wine-compholio
  wine-compholio-amd64 wine-compholio-i386:i386 wine-staging
  wine-staging-amd64 xchat xchat-common xchat-gnome xchat-gnome-common
  xdg-user-dirs-gtk yelp zenity

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