This is a fork of https://gist.github.com/joshfeck/0622e324fb3729880f67. This one includes more event data.

venue_event_list.php

<?php
//* Please do NOT include the opening php tag, except of course if you're starting with a blank file

function ee_list_upcoming_events_for_a_venue( $post ) {
    // query the events for this venue using EE_Venue's events() method
    // http://code.eventespresso.com/classes/EE_Venue.html#method_events
    if ( ! is_singular() ) {
        return; // get out if this is a list of venues
    }
    $query_params = array( 
        array( 
            'status' => 'publish', 
            'Datetime.DTT_EVT_start' => array( 
                '>', 
                date( current_time( 'mysql' ) ), 
                'Datetime.DTT_EVT_end' => array(
                    '<', 
                    date( current_time( 'mysql' ) )
                ) 
            )
        )
    );
    $events = EEH_Venue_View::get_venue( $post->ID )->events( $query_params );

    // start the output
    if ( $events ) {
        echo '<h3>Upcoming events at this venue</h3>';
        // the loop
        foreach ( $events as $event ) {
            $post_id = $event->get( 'EVT_ID' );
            $post_object = get_post( $post_id );
            ?>
            <header class="event-header">
            <h4 class="entry-title">
                <a class="" href="<?php echo get_the_permalink( $post_id ); ?>">
                    <?php echo get_the_title( $post_id ); ?>
                </a>
            </h4>
            </header>
            <!-- .event-header -->
            <div class="event-content">
                <?php echo $post_object->post_content;?>
            </div>
            <!-- .event-content -->
            <div class="event-datetimes">
                <?php espresso_list_of_event_dates( $post_id );?>
            </div>
            <!-- .event-datetimes -->
            <div class="event-tickets ee-clearfix">
                <?php espresso_ticket_selector( $event ); ?>
            </div>
            <!-- .event-tickets -->
        <?php
        } // the loop
    } else {
        echo '<h3>No upcoming events at this venue</h3>';
    }
    // end the output
}

// next, add the above to an action found in the venue template
// you could instead use 'AHEE__content_espresso_venues_details_template__before_the_content' to put the list before the content

how to get events from a particular category slug using this method