Bodysuit

A bodysuit is a suit that is meant to cover most of the body while leaving the head or face exposed, and in some cases the hands and feet. Bodysuits are usually designed for maximum freedom of movement while being skintight.

Mainstream Smurfs Media
Probably the closest thing to a full bodysuit in mainstream Smurfs media is the astronaut jumpsuit Dreamy Smurf wears in both the comic book and cartoon show versions of "The Astro Smurf", as it comes with a zipper in the front that allows for easy removal.

Empath: The Luckiest Smurf stories
In the EMPATH: The Luckiest Smurf story series, the Psyches have developed a bodysuit for themselves to wear fully insulates the body while being breathable and also capable of repairing itself should it be damaged in some way. The Smurfs, meanwhile, have developed the Imaginator Sensory Suit as an accessory to the Imaginator which allows the Smurfs to experience haptic feedback while they are in their Imaginator fantasy settings.