Why could young Tom Riddle do wandless magic? Dumbledore recounts the following memory to Harry via the Pensieve in Half-Blood Prince:
‘It’s ... it’s magic, what I can do?’
‘What is it that you can do?’
‘All sorts,’ breathed Riddle. A flush of excitement was rising up his neck into his hollow cheeks; he looked fevered. ‘I can make things move without touching them. I can make animals do what I want them to do, without training them. I can make bad things happen to people who annoy me. I can make them hurt if I want to.’
Half-Blood Prince - pages 253-254 - UK - chapter 13, The Secret Riddle
Are there canon examples of any other character(s) demonstrating such prodigious, purposeful, and focused magical skill at the mere age of eleven? What about wandless magic that is not accidental?