What's the difference between the base version and full version of antiX? What does the full version have that the base version does not?

Here is a list of the apps in the latest releases (antiX-M8.2)

Full:

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Base:

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Those lists are so long that I can't clearly see the difference. Is the base version a command line install while the full version has all of the bells and whistles?

You can't really say that antiX has 'bells & whistles' __{{emoticon}}__
The base system doesn't have Synaptic package manager (because one can use the terminal for that), has only ROX as a gtk file manager (it has mc, which is terminal fm but doesn't have pcmanfm), has just one set of icons (well, I think you're right, antiX has some bells & whistles), comes only with Fluxbox (no Icewm) etc. It also doesn't come with the Control Center.
It comes with the 'base' system (which include some text based apps too). antiX full comes with more apps (like Abiword and Gnumeric etc.) and some custom tools to make it more beginner friendly.

Of course, except for antiX's tools (which soon will be in a repository but still aren't), one can install everything one wants on top of base.

" onclick="window.open(this.href);return false (base install)
" onclick="window.open(this.href);return false (multimedia install on 8.5-beta base)

If you want to install (and run at once) the exoodles script on antiX 8.2 (base or full), open a root terminal and: