- Named after Princess Zelda of The Legend of Zelda video game series, which her father, the late Robin Williams, was a big fan.
- Made her acting debut at age 5.
- Shared the screen with her famous father a few times, including in the 2004 film House of D, in a 2011 TV commercial for the Nintendo 3DS game The Legend of Zelda: Ocarina of Time 3D, and in the Cobra Starship music video "You Make Me Feel."
- Included in People Magazine's annual Most Beautiful issue in 2007.
- Took a vow of sobriety after seeing her dad struggling with alcohol addiction.
- Following her father's death in August 2014, was driven off Instagram and Twitter (temporarily deleting her accounts) after being harassed by other users of the social media sites.
- Got a tattoo of a hummingbird and her father's birth date on her right hand and wrist in tribute to the actor.
- Voices a no-nonsense blacksmith in a reboot of the King's Quest video game.