I think the best example of such a movie is Who Framed Roger Rabbit.
It was released at the peak of what practical effects could do combined with the peak of hand crafted animation and post process effects by ILM, to make the cartoons look less flat but also without the so called "CGI look".
This is why there was never a better looking movie of this type after this. Even the first Space Jam doesn't come close because even though it still uses traditional animation, they took too many shortcut with CGI.