Well at least some of these people have an affinity for science. I mean, wizards have access to a seemingly infinite energy source along with the ability to warp the concepts of time and space. But do you see them having the largest space race of all human history, or using magic to unravel the secrets of the atom, or even combating the effects of global warming? No, they make dungbombs and extendable ears and hats that make your entire head go invisible. (Yes, I am criticizing a fictional civilization for its lack of involvement in the betterment of our society. )
As far as I know wandless magic was a thing, but it was driven by emotional extremes and not controllable. Like with Dudley and the snake. This guy must be a master wizard.
I think there are some spells that can be done without wands, for example, simple household charms to clean and organize, like Tonks mentioned in OtP .
I THINK I FOUND IT!!!!!! I SEARCHED 'guy who stirs coffee with magic from harry potter' ON GOOGLE AND THERE WAS A WIKI LINK SAYING IT WAS IAN BROWN IF I READ IT CORRECTLY
That wasn't Dumbledore's doing though. He signals the house elves working in the kitchen, and they send the food up with magic. Looks like wizards not only forcing house elves to work endlessly, but getting the credit too!
http://whatculture.com/film/10-unbelievable-movie-cameos-you-probably-missed.php/5