That Guy on 26 March 2007
Personally, I wouldn't say "Cartoony Game" and would use the term "Stylized Game" mainly because I think games like No More Heroes (Killer 7) and Timesplitters are not supposed to be realistic but they're not cartoonie either; they're created in a non-photorealistic fashion and do not (necessarily) benefit as much from greater graphical performance as much as they benefit from greater artistic direction.
I'll accept that. Its based on whether or not the developer wants to aim for photo-realism (i.e. Gran Turismo HD) or if the developer wants to bring out a certain style (i.e. Initial D).