Spent a long time researching this and getting the pcmanfm file manager's "trash bin" or "rubbish bin" to work in the stock Raspbian (version 2013-12 edition) OS / LXDE.
The following worked for me:
1. Edit (i.e., 'sudo nano') the file: /etc/xdg/lxsession/LXDE/autostart
2. Locate line: "@pcmanfm --desktop --profile LXDE "
3. Change line to the following: @dbus-launch pcmanfm --desktop --profile LXDE "
4. Reboot your pi...
Note sure if this is the "right way" - but worked for me: enabled the trash can... (but I lost visibility to the 2 SDcard partitions in the file-manager! - reason unknown. Argh!)
Essentially I think this enables the file-manager to be informed via the dbus messaging system (which adds some cpu overhead) to be informed of events such as when files enter the 'trash can'. This corrected the "Operation not allowed" error when viewing the Trash Can folder in the file-manager. (It may even help with other subtleties that need the dbus infrastructure as well.)
Hope this helps others on the "trash can" issue.
Now...to try to figure-out the 2 SDcard partition visibility and "missing applications" folder issue in the file-manager.....
UPDATE: Fixed the issue above in a better way. I am running "headless" (no console monitor/keyboard/mouse - rather am using Xming on a Windows-PC). I was simply starting the desktop using "lxsession". Better way is to use "startlxde" which is a script supplied in Raspbian to start the lxde gui session. Result: (1) Trash can works!; (2) Application Folder works and is populated in the file-manager!. (3) The two SDcard partitions are no longer listed in the left-pane - not an issue, as they are available as "/boot" folder and the "/" (i.e., root) filesystem itself.
As a result of this finding, I reverted the "/etc/xdg/lxsession/LXDE/autostart" file, removing the "dbus-launch" at the beginning of the line. Essentially, the startlxde script takes care of the sequencing of the dbus-launch for you there.
An excellent resource for all this is: https://wiki.archlinux.org/index.php/PCManFM
And the related entries on: Openbox https://wiki.archlinux.org/index.php/Openbox
and LXDE https://wiki.archlinux.org/index.php/LXDE
Prepare to spend some time understanding how all these facilities work, if you are debugging these file-manager (pcmanfm) issues.
Hopefully the above will help someone else....