Display field from one section in another section
This is untested but, give it a try:

{% extends "_layout" %}
{% set title = "Games" %}
{% set entries = craft.entries.section('games').limit(10).order('title') %}
{% block content %}
&lt;ul&gt;
    {% for entry in entries %}
        &lt;li&gt;
            {% for category in entry.GamesGenre %}{{ category.title }}{% endfor %}: &lt;a href="{{ entry.url }}"&gt;{{ entry.title }}&lt;/a&gt; {% set publishers = entry.GamesPublisher %}{% for publisher in publishers %}({{ publisher.title }}{% endfor %}, {{ entry.GamesReleaseYear.format('Y') }})
        &lt;/li&gt;
    {% endfor %}
&lt;/ul&gt;
{% endblock %}


If need be, have a look at An introduction to relations and reverse relations in Craft CMS, with examples