All Linux distro will run all software, but some have more stuff than others in their repository. The requirements you specified will be satisfied by anything.
Salix and Vector are both very reliable, being based on Slackware. In fact most of the programs in Salix are installed from the Slackware repository, Salix justing sorting out their dependencies for you. The Vector disk gives you Abiword and no mail client, but media codecs are built in. Salix gives you LibreOffice and Claws-mail, and codecs are downloaded after the installation.
Last edited by DavidMcCann; 02-05-2012 at 04:47 PM.