There used to be information (admittedly unsourced) in Wikipedia (https://en.wikipedia.org/w/index.php?title=The_New_Leave_It_to_Beaver&oldid=814318385#Syndication_and_DVDs) that said:
According to series costars Frank Bank and Ken Osmond in a May 28, 2008 internet radio interview at shokusradio.com, the reason the series has not aired in American syndication since the early 1990s is because Universal sold the show's master videos and distribution rights to Qintex Productions (a division of the Australian Qintex (https://www.hometheaterforum.com/community/threads/any-chance-the-new-leave-it-to-beaver-will-be-released.323013/#post-3949352)), which served as the distributor when first-run episodes were aired in US syndication and went through a catastrophic administration in Australia shortly after the purchase was made, leaving the broadcast rights in limbo. This is also the reason why the series may never be released on DVD. However, according to the Bank/Osmond interview, the show does on a rare occasion air in British and Australian markets.

It may or may not have also been lost (or at least, the post-production masters) in the 2008 fire at Universal Studios (https://en.wikipedia.org/wiki/2008_Universal_Studios_fire).

I wish! If you are on Facebook, there is a group for the New Leave It To Beaver and the guy that runs the group posts episodes all the time.

On Youtube he puts comments that he runs his VHS copies and captures the TV screen pictures with a camera.

Geez, I'd run them onto DVD for him if I knew how to contact him. My NLITB set is so horrible, I'd love to have copies with his quality.

Films the TV screen with a camera??? How ridiculous! Better than nothing, yes, but still ridiculous. I have seen on Amazon several do-hickeys that allow you to record from tape directly to your computer with these simple hook-up things. Now I have not bought these little CHEAP devices because my good old DVD recorder is still working. But it's nice to know if it breaks I can buy this little thing.

I hope the Jasper who's posting his camera filmed version of his TV screen sees this message or maybe somebody can contact the guy and tell him about it.

OK, here's one sample of this device from Amazon:

https://www.amazon.com/Capture-Digital-Converter-Adapter-Support/dp/B07QQ9YZQG/ref=sr_1_2?keywords=record+from+tape+to+computer&qid=1585097866&s=electronics&sr=1-2

RIP Ken Osmond.

I am not sure if this is the same person referenced above, but there are a whole bunch of episodes here:

https://www.youtube.com/user/shettrick/videos