There are no "sparkling fish" in any official Nintendo 3DS AR Game. You're likely conflating two different things:
| Concept | Source | Details |
|---|---|---|
| Shiny Pokémon | Pokémon GO / Main Series | Alternate coloration (~1/4096 base rate). "Sparkling" animation on encounter. Not in 3DS AR Games. |
| AR+ Mode (Pokémon GO) | Pokémon GO (iOS/Android) | Real-world AR catching. Shiny Pokémon sparkle. Requires ARCore/ARKit – not on 3DS. |
| Animal Crossing: New Leaf – Island Fish | 3DS Game (not AR) | Rare fish (Coelacanth, Dorado) have unique shadows/sounds, not sparkle. |
| Nintendogs + Cats | 3DS Game | Pets can have "sparkle" personality trait? No – but toys sparkle. |
The 3DS AR Games app is a tech demo from 2011. It has no rare variants, no shinies, no sparkling fish. Enjoy it for what it is: a neat showcase of the 3DS cameras and gyroscope.