Baby Bear

Baby Bear is a walk-around character that debuted in 2005 at Sesame Place.

The character debuted on Sesame Street in the early 1990s. He wears short overalls with his name on them. On TV he doesn't usually wear any clothes.

He is still listed as a character on the Sesame Place website but doesn't appear in any of the current shows or the Neighborhood Street Party parade.

Zoe

 Image from nickandemma

Zoe is a walk-around character that debuted at Sesame Place for the 1996 season.

She debuted on the Sesame Street TV series in 1993 as Elmo's best friend. 

Big Bird's Tie

At Sesame Place the Big Bird walk-around character wears a necktie. The purpose for this is because the performer's head is in Big Bird's neck and the performer looks out through mesh material in the tie.

 This is different than how Big Bird is operated on the TV series (Sesame Street performer Caroll Spinney looks at a small monitor inside the suit.)

 Image from MuppetWiki

Currently Big Bird wears a striped multicolored tie.

At some point he had a solid purple tie:

And at some point he had yellow spots on a purple tie:

I don't know if there were other variations.