Wait till a Function with animations is finished until running another Function

You can use jQuery’s $.Deferred

var FunctionOne = function () {
  // create a deferred object
  var r = $.Deferred();

  // do whatever you want (e.g. ajax/animations other asyc tasks)

  setTimeout(function () {
    // and call `resolve` on the deferred object, once you're done
    r.resolve();
  }, 2500);

  // return the deferred object
  return r;
};

// define FunctionTwo as needed
var FunctionTwo = function () {
  console.log('FunctionTwo');
};

// call FunctionOne and use the `done` method
// with `FunctionTwo` as it's parameter
FunctionOne().done(FunctionTwo);

you could also pack multiple deferreds together:

var FunctionOne = function () {
  var
    a = $.Deferred(),
    b = $.Deferred();

  // some fake asyc task
  setTimeout(function () {
    console.log('a done');
    a.resolve();
  }, Math.random() * 4000);

  // some other fake asyc task
  setTimeout(function () {
    console.log('b done');
    b.resolve();
  }, Math.random() * 4000);

  return $.Deferred(function (def) {
    $.when(a, b).done(function () {
      def.resolve();
    });
  });
};

http://jsfiddle.net/p22dK/