Here is the version that works in Chrome, Safari and FF.
Object.getOwnPropertyNames(document).concat(Object.getOwnPropertyNames(Object.getPrototypeOf(Object.getPrototypeOf(document)))).filter(function(i){return !i.indexOf('on')&&(document[i]==null||typeof document[i]=='function');})
UPD
And here is the version that works in IE9 +, Chrome, Safari and FF.
Object.getOwnPropertyNames(document).concat(Object.getOwnPropertyNames(Object.getPrototypeOf(Object.getPrototypeOf(document)))).concat(Object.getOwnPropertyNames(Object.getPrototypeOf(window))).filter(function(i){return !i.indexOf('on')&&(document[i]==null||typeof document[i]=='function');}).filter(function(elem, pos, self){return self.indexOf(elem) == pos;})
PS: the result is an array of event names, such as ["onwebkitpointerlockerror", "onwebkitpointerlockchange", "onwebkitfullscreenerror", "onwebkitfullscreenchange", "onselectionchange", "onselectstart", "onsearch", "onreset", "onpaste", "onbeforepaste", "oncopy"]
... ect.
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