I have a Shiny Tranquill and [had] the Shiny Pichu from the HG/SS event. Unfortunately, I left my case of games [not my DS system] at a restaurant and lost about 20 games [with my 'had' Heartgold Version], a microSD, and an Action Replay. Now I just have a few games: Super Scribblenauts, [3DS: Lego Pirates of the Caribbean, Lego Star Wars III,] Lego Indiana Jones II (Buggy as hell, don't recommend it.), Pokémon Black Version, Pokémon Soulsilver Version, New Super Mario Bros., Super Mario 64 DS, and a few others.
Sorry for going way off-topic.
TL;DR: I had a Shiny Pichu until I lost my game, literally.