I have something like this:
var Something = function(){
this.render = function(){};
$(window).resize(function(){
this.render();
});
}
The best solution, to keep variables at a minimum would be to use the Function.prototype.bind() method.
var Something = function(){
this.render = function(){};
$(window).resize( this.render.bind( this ) );
}
The problem with this method that may cause future complications, which means you should choose to use it sparingly, is when you need to invoke $(this) to grab the element. So, I might suggest that it would be worthwhile to use Function.prototype.bind() in your resize method, but it would not be a good solution to use it in a click function that you might need to target the clicked element directly.
See this JSFiddle for a working example.
See the Mozilla Documentation on Function.prototype.bind() for more information
The other methods are usable, but creating a variable to maintain the context of this is the undesired effect according to your question.