Normal-Type:
* Pound
* Sing
* Body Slam
* Double-Edge
* Rollout
* Last Resort
* Swift
* Extreme Speed
* Return
* Frustration
* Facade
Fairy-Type:
* Pound
* Sing
* Body Slam
* Double-Edge
* Rollout
* Last Resort
* Swift
* Extreme Speed
* Return
* Frustration
* Facade
* Charm
* Fairy Wind
* Dazzling Gleam
* Moonblast
* Draining Kiss
* Play Rough
Status:
* Metronome
* Rest
* Substitute
* Detect
* Protect
* Encore
* Toxic
* Thunder Wave
* Will-O-Wisp
* Soft-Boiled
Other:
* Transform
* Mimic
* Copycat
* Splash
It's important to note that some of these attacks are only learned through breeding, leveling up, or specific move tutors.
Jigglypuff also has a unique signature move:
Sing (Fairy-Type): Puts the opponent to sleep.
If you're looking for specific move combinations or strategies, you can check out online resources like Smogon.com or Serebii.net.