No doubt you'll want to display the contents of a user's list at some point. To do this, you'll need to first fetch the list first, which will be for the current user, and then loop through the contained items.
If you're after just a single list, the getUserList() method will return the default list for the current user. This includes whether the user is logged in, or a guest. getUserList() will always return a List element, even if the user hasn't added any items to their list, as it will be their empty, but default list.
{% set list = craft.wishlist.getUserList() %}
{% if list.items %}
<ul>
{% for item in list.getItems() %}
<li>{{ item.title }}</li>
{% endfor %}
</ul>
{% endif %}
You can also pass in a specific list type:
{% set list = craft.wishlist.getUserList({ listType: 'favourite' }) %}
{% if list.items %}
<ul>
{% for item in list.getItems() %}
<li>{{ item.title }}</li>
{% endfor %}
</ul>
{% endif %}
As Wishlist can support multiple lists, and multiple list types, you can also loop through those multiple lists. You can do this with a more general query for lists with craft.wishlist.lists().
{% for list in craft.wishlist.lists().all() %}
<p>#{{ list.id }} - {{ list.title }} - {{ list.type }}</p>
<ul>
{% for item in list.getItems() %}
<li>{{ item.title }}</li>
{% endfor %}
</ul>
{% endif %}
Note that by default, this will still only return lists for the current user. You can change this be passing false into lists().
{% for list in craft.wishlist.lists(false).all() %}
<p>#{{ list.id }} - {{ list.title }} - {{ list.type }} - {{ list.user }}</p>
<ul>
{% for item in list.getItems() %}
<li>{{ item.title }}</li>
{% endfor %}
</ul>
{% endif %}