Out of this World...
...I remember that show fondly. She had her powers, but had to use them for good and couldn't really cheat otherwise her father would take them away as punishment.
...the best thing I remember about Out of this World is the opening theme song "When You Wish Upon A Star, Carrying Moonbeams In A Jar....etc"... the rendition was pretty catchy.
Wasn't that a syndicated show (ala Charles in Charge) vs. a Prime-Time show?