Keep Circulating the Tapes: The bestonly way to see many of the original OSM shorts (especially Mrs. Munger's Class for the reasons listed below) is through YouTube.
Doug and 101 Dalmatians: The Series got a few episodes on VHS compilations (Dalmatians got one tape, one VideoCD, and another tape outside of the US, while Doug got four tapes and the movie), Recess and House of Mouse got a few VHS and DVD releases (while Recess got a movie), Teacher's Pet only got the movie on VHS and DVD. As for the rest...they got reruns on the other Disney networks until 2006 or 2008.
Mrs. Munger's Class has its own YouTube channel.
Screwed by the Lawyers / Author Existence Failure: The photographs used for Mrs. Munger's Class were actual pictures taken (without permission) from a middle school yearbook, and some of the people depicted were none too happy about it and filed a lawsuit. So Mrs. Munger's Class was swiftly cancelled, all parties settled out of court, and Centerville sprang up in its place.
Screwed by the Network: The switch to ABC Kids ended up getting every show on the block that wasn't originally on Disney Channel canceled, with the exceptions of Filmore!, which was announced for OSM but ended up on ABC Kids, any of the Disney-owned Power Rangers series, and Recess (for being one of the most popular shows on OSM). Some shows were lucky to air newer episodes on Toon Disney.
What Could Have Been: According to one OSM animator on YouTube, ABC loved the Mrs. Munger's Class shorts and wanted to do a primetime version. But that didn't happen because of the aforementioned lawsuit.
To elaborate, animator Tim Maloney explained in a comments section that the producers would have been more than happy to negotiate with those people for the use of their likenesses--the show was just that popular (both with viewers and network execs), and ABC wanted way more out of it than the mere minute-long segments. Maloney even mentioned that the people would likely still be receiving royalty checks to this day.