Winged Yoshi is the trademark power-up form of the Yoshis, which made its debut in Super Mario World. In this form, Yoshi gains wings and the power of flight.
History
Super Mario series
Super Mario World
In Super Mario World, this form could be accessed in one of two ways: by having any Yoshi eat a Blue Shell (or by having a Blue Yoshi eat any shell), or by grabbing Yoshi's Wings. The latter would incidentally turn any Yoshi into a Blue Yoshi after finishing the current stage, though only in the original version. The Yoshi's flight controlled differently, depending on Mario or Luigi's current form: if they were in Cape form, they only needed to hold 
(or 
in the GBA remake) to fly; if not, the button had to be tapped, as with Raccoon or Tanooki Mario in the previous game.
Super Mario 64 DS
After a prolonged absence from the series, Winged Yoshi returns in the multiplayer mode of Super Mario 64 DS as Yoshi's answer to the other characters' Wing forms.
Super Mario World cartoon
In the Super Mario World cartoon episodes "Ghosts 'R' Us" and "The Night Before Cave Christmas," Yoshi transformed into Winged Yoshi after gaining a pair of Magic Wings.
Super Mario Adventures
In Super Mario Adventures, after eating a Koopa Troopa wearing a Blue Shell, Yoshi becomes Winged Yoshi, which allowed him to fly with Mario and Luigi on his back. Yoshi accidentally spat out this Blue Shell later, causing him to lose his Winged form.
Mario Strikers Charged
The Winged Yoshi form makes an appearance in Mario Strikers Charged, where Yoshi briefly gains it while using his Mega Strike.
Super Smash Bros. series
In Super Smash Bros. Brawl and Super Smash Bros. for Nintendo 3DS / Wii U, Yoshi's Super Dragon Final Smash turns him into a Winged Yoshi capable of breathing fire.
Yoshi franchise
Yoshi
It has been requested that this section be rewritten and expanded to include more information. Reason: October 18, 2017
Winged Yoshi makes its first appearance in the Yoshi franchise in the title, Yoshi.
Yoshi's New Island
Winged Yoshis appear in Yoshi's New Island, after a Yoshi grabs a pair of Flutter Wings or Golden Flutter Wings, which are made available either after losing three lives in a level or by losing another one with the Flutter Wings, respectively. Clearing all levels without using either wing power-up lets the player fight Bowser before saving Baby Luigi and the Stork.
Yoshi's Woolly World / Poochy & Yoshi's Woolly World
Winged Yoshi appears in Yoshi's Woolly World and Poochy & Yoshi's Woolly World. Players can switch to a new Mellow Mode, where they can choose to play levels as Winged Yoshi. After jumping, the jump button must be held down to keep Yoshi flying. It replaces his Flutter Jump ability.
Puzzle & Dragons: Super Mario Bros. Edition
Winged Yoshis appear in Puzzle & Dragons: Super Mario Bros. Edition as Helpers by unlocking them in the Special Worlds. Green Winged Yoshi is a Wood/Dark attribute team member that is unlocked by clearing ★World 3-
; Red Winged Yoshi is a Fire/Wood attribute team member that is unlocked by clearing ★World 4- ; Light Blue Winged Yoshi is a Water/Light attribute team member that is unlocked by clearing ★World 5- ; Yellow Winged Yoshi is a Light/Fire team member that is unlocked by clearing ★World 6-
, and Purple Winged Yoshi is a Dark/Water team member that is unlocked by clearing ★World 7- .