Peppermint is a "cloud hybrid" distro .. basically it's Ubuntu 12.04 with the LXDE desktop and all the cruft ripped out.
Default setup is pretty much all web apps (that run in their own windows, so look like local apps) .. but there's nothing stopping you from installing local apps such as OpenOffice/LibreOffice etc. .. as it uses the Ubuntu repos they're all available in the software centre (or Synaptic) for easy installation.
Dropbox is installed by default.
I like it as a starting point for installing what YOU want
Why not bung it on a LiveUSB and take a look .. obviously it will be quite a bit slower on a USB stick, but you can get a feel for it.