If you're looking to create an approximation of the font, you can try to upload a good screencap of the logo to
WhatTheFont? and it will try to figure out an approximation to a known digital font.
As far as typography goes, the mid-80s (when Wordplay aired) was pretty much the B.A. (Before Adobe) era, so the designers may have adapted a standard Chartpak or Letraset typeface or even hand-drawn the characters from scratch.
Even today, pro logo designers will take a standard font, make it into outlines using something like Adobe Illustrator, and then tweak the characters to create a custom logo.
Marc