The auto white balance is not very auto and the daylight setting tends to be somewhat on the cool side which can make photos in shade areas really look off colour. Night shots can tend toward orange or yellow even in auto mode.

For shooting outside, I tend to get good colour by shooting in the "Vivid" menu choice and the shade or cloudy setting to warm up the colour a little.
I also use an enhancement filter on my lens.

Inside buildings colour balance has got more complicated. Incandescent, fluorescent, mercury vapour etc. and new lights even having a different colour than older lights. A mixture of light from outside makes it even more interesting. In those situations I find that it is just necessary to experiment. Sometimes auto works. Other times tungsten may be the necessary choice.
For really important inside shooting inside, I might even tweak the colour temperature in the menu until I get the colour I want.

Tegan