Couldn't the same be said about LEGO movies?
With LEGO there was no story, no plot, no purpose, no motivation. Any story with LEGO was imagined by the kid playing with it.
Can the same be said about angry birds? Probably not. There is a vague story (Pigs steal eggs, Birds are angry) but there isn't much room for imagination.
On top of that, LEGO is a cultural phenomenon that has stood the test of time. The same can't be said with Angry Birds (see the article above).
It can be done. But all the examples I can name are in genres where narrative is a focus. I've got nothing like Angry Birds I can name.
If by "turned out well" you mean "turned a profit", probably quite a few.
If by "turned out well" you mean "created a film that was critically well-received or generally regarded as a timeless classic", probably not.
If LEGO the movie is a flop, that in no way relates to the success of LEGO product.
LEGO has been selling bricks for decades and their volumes just continue to increase.