A collection of random polyfills. YMMV.

pollyfills.js

//Array
([].indexOf)||(Array.prototype.indexOf=[].indexOf||function(a,b,c,r){for(c=this,b=b|0,r=-1;b++<c.length&&!~r;r=c[b]===a?b:r);return r});
([].map)||(Array.prototype.map=function(a){for(var b=this,c=b.length,d=[],e=0,f;e<b;)d[e]=e in b?a.call(arguments[1],b[e],e++,b):f;return d});
([].filter)||(Array.prototype.filter=[].filter||function(a,b,c,d,e){for(b=this,d=0,c=[];d<b.length;d++)if(a.call(b,e=b[d]))c.push(e);return c});
([].isArray)||(Array.isArray||(Array.isArray=function(a){return{}.toString.call(a)=='[object Array]'}));
([].every)||(Array.prototype.every=[].every||function(a,b,c,d){for(c=0,d=this;c<d.length;c++)if(!a.call(b,d[c],c,d))return!1;return!0});
([].some)||(Array.prototype.some=[].some||function(a,b,c,d){for(c=0,d=this;c<d.length;c++)if(a.call(b,d[c],c,d))return!0;return!1});
([].unique)||(Array.prototype.unique=function(a){return function(){return this.filter(a)}}(function(a,b,c){return c.indexOf(a,b+1)<0}));
//Function
Function.prototype.bind=(function(){}).bind||function(a,b){b=this;return function(){b.apply(a,arguments)}}
Function.prototype.partial=function(){
	var fn=this,b=[].slice.call(arguments);
	return function(){return fn.apply(this,b.concat([].slice.call(arguments)))}
}
Function.prototype.time=function(n){var fn=this;(!n)&&(n=String.random(10));return function(){console.time(n);var val=fn.apply(this,arguments);console.timeEnd(n);return val;}}
Function.prototype.avgtime=function(count, name){
	var fn=this;
	return function(){
		var args=arguments,val="";
		function timer(){
			//var n=String.random(10);
			var start=Date.now();
			//console.time(n);		
			val=fn.apply(this,args);
			//console.timeEnd(n);
			return Date.now()-start;
		}
		var tests=0,i=count;
		do{
			var time=timer();
			tests+=time;
		}while(--i>0);
		return [name,tests/count,val];
	}
}
Function.prototype.extend = function(superClass) {
        var subClass=this,F = function() {};
        F.prototype = superClass.prototype;
        subClass.prototype = new F();
        subClass.prototype.constructor = subClass;

        subClass.superclass = superClass.prototype;
        if(superClass.prototype.constructor == Object.prototype.constructor) {
                superClass.prototype.constructor = superClass;
        }
        return subClass;
}
Function.prototype.debounce = function(delay, maxCalls) {
        var func = this, timeout, calls=[];
        if(!maxCalls)maxCalls=10;
        function callback(){
                while(calls.length>0){
                        var call=calls.pop()
                        func.apply(call[0], call[1]);
                }                               
        }
        return function debounced() {
                var pointer = this, args = arguments;
                calls.push([pointer,args]);
                if(calls.length<maxCalls){
                        clearTimeout(timeout);
                        timeout = setTimeout(callback, delay);
                } else {
                        callback();
                }
        };
}
Function.prototype.throttle = function(delay) {
        var func = this, timeout;
        return function throttled() {
                var pointer = this, args = arguments;
                clearTimeout(timeout);
                timeout = setTimeout(function(){func.apply(pointer, args);}, delay);
        };
}
Function.prototype.wrapped = function (before, after) {
        var f="function";func = this;
        return function() {
                var obj = this, args = arguments;
                if(before && typeof before === f){before.apply(obj, args);}
                func.apply(obj, args);
                if(after && typeof after === f){after.apply(obj, args);}
        };
}
Function.prototype.limit = function (limit) {
        var func = this;
        return function() {
                var obj = this, args = arguments;
                func.apply(obj, args);
                if(--limit === 0){
                        func=function(){
                                if(console && console.warn){
                                        console.warn("This method has reached its execution limit.");
                                }
                        }
                }
        };
}

/* logging */
function Logger(){
        function tr(m){return {'E':'End','%':'group','#':'profile','!':'time'}[m];}
        var logEnabled = true,
                methods="log error warn info debug assert clear count dir dirxml exception % %Collapsed %E # #E table ! !E trace".replace(/([E%#!])/g,tr).split(' '),
                con=window.console;
        function createLogMethod(method) {
                return function() {
                        logEnabled && con && con[ method ] && con[ method ].apply( con, arguments );
                }
        }
        for ( var i=0;i <methods.length;i++ ) {
                var method=methods[i];
                this[ method ] = createLogMethod(method);
        }
}



('extend' in Object)||(Object.prototype.extend=function(a,b,c,d){b=b||this;d={};for(c in a){d[c]=b[c];b[c]=a[c]};return{undo:function(){Object.prototype.extend(d,b)}}});
Object.prototype.keys=Object.prototype.keys||function(){var o=this,k,r=[];for(k in o)r.hasOwnProperty.call(o,k)&&r.push(k);return r}
Object.prototype.clone=function(a,b){with(Object)return getOwnPropertyNames(a).map(b=function(c){b[c]=getOwnPropertyDescriptor(a,c)}),create(getPrototypeOf(a),b)}

Date.now=Date.now||function(){return+new Date}
Date.prototype.ago=function (){var b,c,d=this;for(b=[1e3,60,60,24],d=new Date-d,c=0;d>2*b[c];d/=b[c++]);return~~d+" "+"m0second0minute0hour0day".split(0)[c]+"s ago"}

Number.prototype.suffix=function(){ var a=this;return a+["th","st","nd","rd"][(a=~~(a<0?-a:a)%100)>10&&a<14||(a%=10)>3?0:a]}
Number.prototype.pad =function(l){return(1e15+this+"").slice(-l)}
//??? Number.prototype.stylize=function(a,b,c){a=a||this;for(a in c="I??O?GEUCC".charCodeAt(a).toString(2))b=[b]+" |_"[1^c[a]&&a%2+1]+["\n"[~-a%4]];return b}

String.prototype.trim=''.trim||function(){return this.replace(/^\s+|\s+$/g,'')}
String.prototype.diff=function(a,b){if(!b){b=a;a=this}for(var c=0,d=a.length,e=b.length;a[c]&&a[c]==b[c];c++);for(;d>c&&e>c&&a[d-1]==b[e-1];d--)e--;return[c,d-c,e-c]}
/* length, radix */String.random=function(a,b){b=b||16;return Array(a||32).join(0).replace(/0/g,function(){return(0|Math.random()*b).toString(b)})}


function getParam(a){return RegExp("[&?]"+a+"=([^&]+)").exec(location)[1]}
function isSameOrigin(a,b,c){b=document.createElement("a");b.href=a;return(a=location)[c="protocol"]==b[c]&&a[c="hostname"]==b[c]&&+a.port||80==+b.port||80}

function cssPrefix(s){return eval(0+"O-Moz-Webkit-Ms-".replace(/.*?-|$/g,"||(s='$&"+s+"')in new Image().style&&s").replace(/-(.)/g,"'+'$1'.toUpperCase()+'"))}

/* array of URLs, asyc true/false */function loadScript(a,b,c){with(document)for(;(c=createElement("script")).src=a.shift();body.appendChild(c))c.async=b}
//window.XMLHttpRequest=(function(a){for(a=3;a--;)try{return (this.XMLHttpRequest||ActiveXObject)(["Msxml2","Msxml3","Microsoft"][a]+".XMLHTTP")}catch(e){}}());
window.XMLHttpRequest = window.XMLHttpRequest||function (){for(a = 3;a--;) try {return new(ActiveXObject)(["Msxml2","Msxml3","Microsoft"][a] + ".XMLHTTP")}catch(e){}};
function Promise() {
	this.complete = false;
	this.error = null;
	this.result = null;
	this.callbacks = [];
}
Promise.prototype={
		create:function(){return new Promise()},
		then:function(callback, context) {
			var f = function() {return callback.apply(context, arguments)};
			if (this.complete) {
				f(this.error, this.result);
			} else {
				this.callbacks.push(f);
			}
		},
		done:function(error, result) {
			this.complete = true;
			this.error = error;
			this.result = result;
			for (var i = 0; i < this.callbacks.length; i++) this.callbacks[i](error, result);
			this.callbacks.length=0;
		},
		join:function(promises) {
			var p = new Promise(),
				total = promises.length,
				completed = 0,
				errors = [],
				results = [];
			function notifier(i) {
				return function(error, result) {
					completed += 1;
					errors[i] = error;
					results[i] = result;
					if (completed === total) {
						p.done(errors, results);
					}
				};
			}
			for (var i = 0; i < total; i++) {
				promises[i]().then(notifier(i));
			}
			return p;
		},
		chain:function(promises, error, result) {
			var p = new Promise();
			if (promises.length === 0) {
				p.done(error, result);
			} else {
				promises[0](error, result).then(function(res, err) {
					promises.splice(0, 1);
					chain(promises, res, err).then(function(r, e) {
						p.done(r, e);
					});
				});
			}
			return p;
		},
		createTag:function(tagName, attributes){
			var p=new Promise(),
				element=document.createElement(tagName);
			if(typeof attributes ==='object'){
				Object.keys(attributes).forEach(function (f) {
					element[f] = attributes[f];
				});
			}
			function onload(e){
				if(e.type=='readystatechange'){
					if (!(e.readyState && e.readyState !== "complete" && e.readyState !== "loaded")) return;
				}
				p.done(null, element);
			}
			if(element.onafterscriptexecute){
				element.addEventListener('afterscriptexecute', onload);
			}
			element.addEventListener('load', onload);
			document.body.appendChild(element);
			return p;
		}
	}

function Ajax(){
		function encode(data) {
			var result = "";
			if (typeof data === "string") {
				result = data;
			} else {
				var e = encodeURIComponent;
				for (var k in data) {
					if (data.hasOwnProperty(k)) {
						result += '&' + e(k) + '=' + e(data[k]);
					}
				}
			}
			return result;
		}
	var request=function(m,u,d){
		var p=new Promise();
		with(new XMLHttpRequest()){onreadystatechange=function(){this.readyState^4||p.done(null, this)};open(m,u);send(encode(d));}
		return p;
	}.memoize();
	this.get=request.partial('GET');
	this.post=request.partial('POST');
	this.jsonp=function(a,b,c,d){with(document)body.appendChild(createElement(d="script")).src=a+(c=d+(jsonp.a=-~jsonp.a));(a=window)[c]=function(d){a[c]=b(d)}};
}