"Best" is personal....
Some people like "No Sign Board" or "East Coast Seafood"... whereas I would go all the way out to Tuas for my Chilli and Pepper Crab which comes in both White Pepper and Black Pepper style.
For chicken rice - again it depends on what style you want. The Hainanese or the Roast version.
I like the one opposite Novena Church. They have the best roast chicken style in town. The secret's in the sauce!
But for the best in Singapore foods, see:
http://www.makantime.com/