Well, I would want some special edition DVDs released, with an assortment of clips shown without linking material. I have a few different ideas on how I'd want them released. One would be similar to the Looney Tunes Golden Collection. I actually started a thread like that in the Sesame Merchandise folder, with listings of contents and features I'd like. I forget the title for the thread, but I think it had Sesame Street Golden Collection in the title (I think the word "idea" was also in the thread title).
Another type of DVD like this that I've thought of was a collection of DVDs known as the Sesame Street Treasures Collection. I actually posted a thread on april fools day about a phony e-mail response announcing this, but if you look you will see what I listed, which is a bit of what I'd like to see. I have considered starting a fan fiction of more phony press releases for sets that I didn't mention in the joke thread. Basically, this type of collection would be a number of different things, such as chronological character collections from a certain number of years, collections focusing on certain episodes/ types of episodes, or collections of certain themes (like guest star appearances, parodies, animated segments, and more). These would have features like photo galleries, all-new documentaries, episodes of the show (though they would most likely have most of the inserts edited, for reasons including time, space, budget, legalties, and the fact that many sketches are repeated in many episodes anyway), existing specials and guest appearances, and other things that would fit the collection. I'd also like them to include a special booklet, with a two-page introduction by somebody who's important to the certain type of video represented. For example, for a collection focusing on a certain character, I'd like it to include an introduction by that characters performer (or one of that characters performers, if there are multiple performers).
I'd also have all new DVDs that have the same formats as current DVDs include bonus segments. Some of the recent DVDs have had bonus segments,but not all of them have. If I was in charge of the A Celebration of Me, Grover! DVD, I would have put in six bonus segments, and for the program itself, I would have replaced some of the segments that have been previously released on video (I would have replaced Over, Under, Around, and Through with the regular Near and Far skit, I'd have replaced ABC Disco with Rappin' Alphabet, and I'd nix Roger Ebert's review of The King and I to include Allistar Cookie's opening and closings).
I'd also try to put in more older segments in the DVDs, and I'd release special edition DVDs of existing DVD releases, featuring 4-6 bonus segments (I'd also do this for new DVD releases of existing videos that have never been released on DVD, like I'm Glad I'm Me).