I got this comment regarding this question expressing that "if that was a-ok, why mine is not". Hence to prevent further problems with these kind of questions lets close and archive it for its historical value. The answers should be candidates to be closed for these motive.
BTW, instead of "What different desktop environments and shells are available?" (which can change and is evergrowing) questions like these should be rephrased as "How to install X desktop manager?" or "How to install X shell?". This keeps the Q&A format pretty well and offers a pinpointed help to each user. Does anyone want to know 'how many X are?' Just look in the
apt-cache search X and be dealt with.
$ apt-cache search "Session Manager" gnome-session - GNOME Session Manager - GNOME 3 session gnome-session-bin - GNOME Session Manager - Minimal runtime gnome-session-common - GNOME Session Manager - common files libsm-dev - X11 Session Management library (development headers) libsm-doc - documentation for the X Session Management protocol and library libsm6 - X11 Session Management library libsm6-dbg - X11 Session Management library (debug package) x11-session-utils - X session utilities gnome-session-fallback - GNOME Session Manager - GNOME fallback session gpe-login - login window for the G Palmtop Environment jack-tools - various JACK tools: dl, record, scope, osc, plumbing, udp, play, transport kde-workspace-bin - core binaries for the KDE Plasma Workspace lxsession - default session manager for LXDE lxsession-dbg - default session manager for LXDE - debug package razorqt-session - Session manager component for Razor-qt desktop environment xfce4-session - Xfce4 Session Manager xfce4-session-dbg - Xfce4 Session Manager (debug symbols)
KDE, Gnome, LXDE, XFCE are there. Others may be under the name of "Window Manager" or "File manager", etc. Either way, these kind of questions should go.
This is the close reason:
This question exists because it has historical significance, but it is not considered a good, on-topic question for this site, so please do not use it as evidence that you can ask similar questions here. More info: FAQ
Maybe it could be tweaked a bit. For looking candidates I would recommend using
https://askubuntu.com/search?q=answers%3A20 This looks for questions that has 20 answers or more.