Mando alcune piccole correzioni… 
codice:
<!doctype html>
<html>
<head>
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8" />
<title>Codice di compatibilit&agrave; addEventListener</title>
<script type="text/javascript">
var oElConstr = Element || Object;
if (!oElConstr.prototype.addEventListener) {
var oListeners = {};
function runListeners(oEvent) {
if (!oEvent) { oEvent = window.event; }
for (var iLstId = 0, iElId = 0, oEvtListeners = oListeners[oEvent.type]; iElId < oEvtListeners.aEls.length; iElId++) {
if (oEvtListeners.aEls[iElId] === this) {
for (iLstId; iLstId < oEvtListeners.aEvts[iElId].length; iLstId++) { oEvtListeners.aEvts[iElId][iLstId].call(this, oEvent); }
break;
}
}
}
oElConstr.prototype.addEventListener = function (sEventType, fListener /*, useCapture (will be ignored!) */) {
if (oListeners.hasOwnProperty(sEventType)) {
var oEvtListeners = oListeners[sEventType];
for (var nElIdx = -1, iElId = 0; iElId < oEvtListeners.aEls.length; iElId++) {
if (oEvtListeners.aEls[iElId] === this) { nElIdx = iElId; break; }
}
if (nElIdx === -1) {
oEvtListeners.aEls.push(this);
oEvtListeners.aEvts.push([fListener]);
this["on" + sEventType] = runListeners;
} else {
var aElListeners = oEvtListeners.aEvts[nElIdx];
if (this["on" + sEventType] !== runListeners) {
aElListeners.splice(0);
this["on" + sEventType] = runListeners;
}
for (var iLstId = 0; iLstId < aElListeners.length; iLstId++) {
if (aElListeners[iLstId] === fListener) { return; }
}
aElListeners.push(fListener);
}
} else {
oListeners[sEventType] = { aEls: [this], aEvts: [ [fListener] ] };
this["on" + sEventType] = runListeners;
}
};
oElConstr.prototype.removeEventListener = function (sEventType, fListener /*, useCapture (will be ignored!) */) {
if (!oListeners.hasOwnProperty(sEventType)) { return; }
var oEvtListeners = oListeners[sEventType];
for (var nElIdx = -1, iElId = 0; iElId < oEvtListeners.aEls.length; iElId++) {
if (oEvtListeners.aEls[iElId] === this) { nElIdx = iElId; break; }
}
if (nElIdx === -1) { return; }
for (var iLstId = 0, aElListeners = oEvtListeners.aEvts[nElIdx]; iLstId < aElListeners.length; iLstId++) {
if (aElListeners[iLstId] === fListener) { aElListeners.splice(iLstId, 1); }
}
};
}
</script>
</head>
<body>
<span id="cliccami" style="cursor:pointer;color:#0000ff;text-decoration:underline;">Clicca qui!</span></p>
<script type="text/javascript">
var oElemento = document.all ? document.all.cliccami : document.getElementById("cliccami");
function prova1() {
alert("Prova numero 1 riuscita!!");
}
function prova2() {
alert("Prova numero 2 riuscita!!");
}
oElemento.addEventListener("click", prova1, false);
oElemento.addEventListener("click", prova2, false);
oElemento.removeEventListener("click", prova2, false);
oElemento.addEventListener("click", prova2, false);
</script>
</body>
</html>