So I bought a new Diamond version a while ago and caught Uxie last night. Afterwards, I went to the patch of grass near it's cave, and a shiny Chingling appeared. Yay.
That marks my 4th or so shiny catch. I found a Raticate in Silver, Tentacool in Emerald, and a Wingull in Sapphire. Plus I got a Dialga, Mew, and Ho-oh from Wi-fi. Yay!