Hey Joseph,
That is near impossible to answer, as on any video production, the raw footage go through a number of stages before ending up on the distribution format.
You give two different examples from two different time-periods, with different owners of the business.
First video (4:3 – assuming NTSC):
“Classical Music For Babies | Toddler Music | Baby Beethoven: Symphony of Fun”
Original Release Date: November 1, 1998
I would guess most likely Digital Betacam or Betacam SP.
IMX (Betacam “format”), DV-CAM or DVC-Pro is also a remote possibility.
Most likely to have been through something of a digital process, including NLE.
Ending up on an analogue master of some kind.
Second video (4:3 – assuming NTSC)
“Old MacDonald had a Farm | Learning about The Farm | Full Episode | Baby Einstein | Toddler Show”
Original Release Date: September 9, 2003
At this point Disney had taken ownership of the brand, and revenue had in 2001 passed $25 Million in revenue. However, they still choose to shoot it 4:3.
Looking at the video elements of the kids, I would suggest either Digital Betacam camcorder, or recorded in a studio to Digital Betacam (or media drive, or both).
Sadly, Mark Burr, who filmed and edited this episode passed away in July 2024.
However, the pricipal creator of the brand, back then, Julie Aigner-Clark is still very active. And, you could reach out and ask her. It would be wrong of me to publish her details here, but she is not difficult to find.
There will be funtioning Betacam cameras out there, but not sure that they would be for hire with one careful owner coming along.
I’ve got a Betacam SP VTR sitting next to me in my studio.
If can find one of those, and a camera that can give you analogue locked signal out, then you just need a VTR to record to.
There are a number of plug-ins that offers you Bad-TV or VHS effect.
You could also just record your finished edit, or raw footage to VHS and play that back into your edit.
The sky is the limit for how you can solve this creatively.
Hope this helps you?
Atb
Mads