One of the mistakes tourists make when they want to have a good view of Paris is to either go on top of the Eiffel Tower, or to the steps of the Sacré-Coeur in Montmartre.
Both are silly tourist mistakes in my opinion.
When you are a tourist and want to get that view of Paris, I assume that you want to have the Eiffel Tower in that landscape right?
In that case, climbing on top of it is quite counterproductive, don’t you think?
Same goes with the Sacré-Coeur steps, you can’t see the Eiffel Tower from there (you can if you move a little bit down rue Azais or rue St-Éleuthère, but the view is not that great anymore as it’s partially blocked by houses and trees.
Personally, my favorite spot is from the top of the Parc de Belleville, very close to the highest point in Paris. The picture above was taken from there. And as a bonus if you go there, you’ll discover a Paris that is really off the beaten tourist paths.