Muppet Wiki now has info confirming the Guy Smiley and Kermit segments (as well as an earliest known appearance for the Cookie Monster segment).
https://muppet.wikia.com/wiki/Leslie_Mostly
It's not much that wasn't already mentioned in this thread from memories, but I must say that that Guy Smiley segment sounds awesome (wondering if it only sounds awesome on paper but less awesome in the final edit).
I am having a bit of trouble comprehending the ending of the Kermit one. So Leslie asks Kermit about the reporter process, after he had talked about what else he wanted to be, and repeats that. That's the reporter process? Seems like it might have been funnier if he'd interviewed Leslie Mostly. I wonder if they wrote it wrong on the wiki and it was actually Leslie doing what Kermit did with the hats. And it's cool that the wiki got this info on the week of Labor Day.
And it's so cool that the scripts do transcribe the segments that hadn't been mentioned on the wiki. I know that the scripts often just list the inserts but sometimes they do transcribe segments (the first script pages for the first episode, shown in the 40th anniversary book, do show that it had a script for the first Ernie and Bert insert). I would have assumed all insert segments were just written on their own pages separate from the full episode scripts, but clearly some segments are scripted in the pages (which gives the wiki detailed info on certain segments we otherwise wouldn't have much info on beyond a title). I have also read that at least one episode script transcribes a repeated insert from a few years back, and I think one of the users with the scripts speculated that they re-wrote some scripts by watching the episodes (as opposed to them being the true pre-production scripts).
So far, all the other Leslie Mostly Show segments continue to have the same EKA as before. Either those are the first appearances or they just searched for the ones that weren't on the wiki.