Let's see…here are all the shiny Pokémon I can name that i've found in Generation IV.
Fearow (Pearl, Route 225 I think, October 2007)
Golbat (Platinum, Stark Mountain, May 2009)
Kyogre (Heart Gold, Embedded Tower, June 2011) <----- You can bet I orgasm'd upon finding this one.
Luvdisc (Heart Gold, Route 27, July 2011)
Swinub (Platinum, Acuity Lakefront, March 2013) <----- Found this during a Wedlocke.
Roselia (Platinum, Route 221, September 2013) <----- Found this during a Ground Monotype.
I also vaguely recall getting a shiny Absol in Pearl, although my recollection of that might have just been me attempting to chain for one. Not certain.
Sadly, I have yet to find a single shiny using the Poké Radar. I just keep breaking streak around 27 or so, sometimes way earlier. =( But those are all i've gotten my hands on.