One thing I often think about is character/production ownership, and distribution rights over the years.
I think about how the credits for the first three Muppet movies don't have a note that the Muppets were owned by The Jim Henson Company. And is it just me or do those movies lack production credits for The Jim Henson Company? I know that TMM and GMC now have production logo sequences for Jim Henson Pictures (and back in the 1990s, they had production credits for Jim Henson Productions), but those movies didn't have such sequences (it seems a production sequence for Henson Associates or whatever didn't exist until Fraggle Rock or Muppet Babies). The Jim Henson Company did originally produce those, right?
And there's the fact that even with Disney owning the Muppets and the productions, the Jim Henson Productions/Pictures logo still appears in the movies. The 50th anniversary DVD releases added the "Muppet Studios" logo sequence while retaining old Henson production logos, but Netflix doesn't include the Muppet Studios logo (and ABC Family didn't include that logo either). And yet Zoot's ITC sequences had to be replaced (I asked about this back when The Muppet Newsflash had a forum, and I was told that it's okay for productions to retain their production logo sequences and credits when ownership changes).
And after watching the first five movies recently, it's interesting how the first three give copyright credits to the production companies, while the ones that Disney always produced give copyright to The Jim Henson Company.
And I often think about how, with the exception of the movies that Disney always distributed, the "presents" credit never goes to the distributor, but to an executive producer or the Henson company. This also applies to The Dark Crystal, Labyrinth, and the two Sesame Street movies (and I think The Witches and Buddy).
And on my mind often is Universal having the US distribution to ITC's films in the 1980s, which includes The Great Muppet Caper and The Dark Crystal. Jim Henson: The Biography mentions that when Jim Henson successfully purchased the distribution rights to TDC from ITC he still had to deal with Universal as the American distributor, but it seems like Henson must have been able to get those distribution rights. Was Universal's deal with ITC always temporary (meaning that ITC, and any company who bought the rights to its films, would eventually get back the American rights?)? Did the Universal logo appear on the original VHS releases of GMC and TDC? I know that even after Jim Henson got the distribution rights, The Great Muppet Caper continued to be broadcast with the Universal logo (and I remember one TV broadcast which had both the ITC and Universal logos).