ext.activities.php
ext.anchor.php
ext.banners.php
ext.blogs.php
ext.comments.php
ext.friends.php
ext.guestbooks.php
ext.members.php
ext.news.php
ext.page.php
ext.pages.php
ext.pictures.php
ext.polls.php
ext.randomize.php
ext.ratings.php
ext.reports.php
ext.search.php
ext.stats.php

Most, if not all, can take parameters effecting their output, so they're fairly flexible.

There are also some unofficial ext's out there as well - I have one, and I believe Ramil (radioact) over on vld Crowd has a number available as well.

Extensions are merely a way for you to customize the software without having to edit its core files. For example if you'd like to display a list of members or pictures in different places in a variety of ways, you may use existing extensions for that without having to edit the main members/pictures modules. A few extensions already come with the software to make it easier for you.

I did open a support ticket to ask for the available extensions, however was told to ask here on the forum.

I have read around, and can see there are quite a few different extensions, as you said for example, for displaying members. This is why I was wondering if there was a definitive list of all the available extensions. It's hard to get an idea of how customizable the templates are with different variables when the extensions don't really seem to be outlined anywhere.

Also, I assume all of the template files are decoded and freely editable?

Thanks again.

If you have not purchased the system, you would need to ask Vlad privately if he's prepared provide you with a list of the available extension names.

Many though, you will find from crawling through the forum, eg., you will find there is a "members" extension, which is responsible for showing the members profiles, in a number of selectable and varied options.
If you look at someone's site, then the "new members", "favourite members", "latest members" etc., would all come from this members extension.

Also, can one make it available on the public profile, when the last time a user was logged in?

Thanks in advance.