Looking at the guides for episodes 2681 and 2737, I wonder if the endings were swapped.
Both episodes involve Gabi and Irvine going to day care, the first one has a scene where Oscar talks about playing peek-a-boo with Irvine, and then the final scene in the other one has Oscar and Irvine playing peek-a-boo. I feel that closing scene would make more sense with the earlier episode.
The first season show content at the CTW Archives lists a lot of segments that don't have episode numbers applied, including Jazz #7, Jazz #9, and Jazz #10, all of which aired in season 2. Considering that was a recurring segments and the others seemed to air all the time in the first season, I wonder what took the other three from airing in the first season. Another segment listed as being produced in season one but not airing until season two is S-Superman, I would think with that having a famous licensed character that it would have aired sooner.
I've also noticed a number of instances where it mentions street scenes. There are many street scenes that probably could have been listed but aren't, and a lot of them only have one episode number listed, but why some and not others? For years I noticed the "Brotherhood of Man" number being listed as "Block Party) Brotherhood of Man", I thought that was interesting, then saw it was part of an episode involving a block party... But until recently I overlooked the fact that only one episode was listed for it (maybe they planned to repeat it later?).
The first season show content also lists Ernie and Bert's bit from the first episode, talking about the number 2 film and introducing the letter E film. At first I wouldn't have expected that one to be repeated because it'd need to be in episodes sponsored by 2 and E, then I found out the whole first week had the same sponsors... But this one supposedly didn't air again (well, it doesn't have "dump" written by it, so it could have aired after the first season), but I wonder why list that one?
Though many of the street scenes listed are ones with Muppets who aren't Big Bird or Oscar, or rare ones involving Buddy and Jim. I noticed for years two segments listed as "Balloons I (Gordon and Big Bird)" and "Balloons II (Big Bird and Monster)", with no numbers by the second one - then I found an episode with both segments (so I guess they were a two-parter). And I saw one listed as "Jim: Big and Little", with only one episode listed, but looking at the episode guide, it lists it as a street scene, which surprises me (also by mistake, it says that introduced Kermit's lecture on tall and short, but the CTW Archives document says it leads "Kermit Big and Little" bit).
But even if it's listing all street scenes with Muppets other than Big Bird and Oscar, there's no mention of the scenes from episode 1 with Ernie in Hooper's Store, Kermit watching Bob's W dollar, or the closing scene from the episode.