Here's the syndicated theme song of the pilot (with Valerie Jones as Judy)http://retrojunk.com/details_tvshows/210-family-matters/690/#intro

Here's the original "What a Wonderful World" version NOT FROM THE PILOT http://retrojunk.com/details_tvshows/210-family-matters/855/#intro

Here's the extended version of "As Days Go By" (From season 3)
http://retrojunk.com/details_tvshows/210-family-matters/587/#intro

Here's the season 4 intro
http://retrojunk.com/details_tvshows/210-family-matters/321/#intro