<?php
$games_array = getGames();

return drupal_get_form('gamesForm', $games_array);

function getGames()
{
    $query = "SELECT ID, Name FROM drupGN.Game ORDER BY Name;";
    $results =  db_query($query);

    foreach ($results as $item) {
        $key = $item->ID;
        $value = $item->Name;
        $games_array[$key] = $value;
    }

    return $games_array;
}

function gamesForm($form_state, $games_array)
{
    $form['games'] = array(
        '#type' => 'select',
        '#title' => 'Game Name',
        '#options' => $games_array,
        '#required' => TRUE,
    );

    return $form;
}
?>

return drupal_get_form('gamesForm', $games_array);

return drupal_render(drupal_get_form('gamesForm', $games_array));