It's Punky Brewster
Season 1, Episode 14: Fish Story
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Punky wants to win the role of a mermaid in a school play over Margaux, so Glomer goes one better. He turns Punky into an actual mermaid.
All Episodes - Season 1
Episode 1
Punky to the Rescue / The Quartersize Quarterback
Episode 2
The Gold Rush / Phar Out Pharoah
Episode 3
Pretty Ugly / Glomer's Story
Episode 4
Brandon the Dialogue Dog / Winning Isn't Everything
Episode 5
Punky Wise and Pound Foolish / A Small Mistake
Episode 6
Return to Chaundoon / Christmas in July
Episode 7
Halloween Howlers / Fish Story
Episode 14
Fish Story
Episode 15
Glomer Punks Out
Episode 16
The Shoe Must Go On
Episode 17
Growing Pain
Episode 18
Double Your Punky
Episode 19
Spellbound
Episode 20
Louvre Affair
Episode 21
Switchin' Places
Episode 22
The Perils of Punky
Episode 23
Any Wish Way You Can
Episode 24
The Bermuda Tangle
Episode 25
Unidentified Flying Glomer
Episode 26
How the Midwest Was Won