gistfile1.js

var search = Titanium.UI.createSearchBar({
	barColor:'#000', 
	showCancel:true,
	height:43,
	top:0
});

var tableView = Titanium.UI.createTableView({
	top:40,
	data:{title:'Please perform a search'}
});

Titanium.UI.currentWindow.add(search);
Titanium.UI.currentWindow.add(tableView);

search.addEventListener('change', function(e)
{
	Titanium.API.info('search bar: you type ' + e.value + ' act val ' + search.value);
	
	if(e.value.length > 3) {

		var xhrMovieSearch = Titanium.Network.createHTTPClient();

		xhrMovieSearch.onload = function() {
			var matches = JSON.parse(this.responseText);
			var fetchedData = [];

			for(var x in matches) {
				fetchedData.push({title:matches[x].title});
			}

			tableView.setData(fetchedData);
		};

		xhrMovieSearch.open('GET','myserver/do_find_movies_by_title.php?title=' + e.value);
		xhrMovieSearch.send();
	}
});

gistfile2.php

<?php

require_once('dbconnect.php');

function find_movies_by_title($title) {
	$q = mysql_query("SELECT * FROM `movies` WHERE `title` LIKE '%$title%'");

	$matches = array();
	$i = 1;

	while($row = mysql_fetch_assoc($q)) {
		$matches[$i]['title'] = $row['title'];
		$matches[$i]['year'] = $row['year'];
		$i++;
	}
	
	return $matches;
}

echo json_encode($matches);