Several threads on how to pull threads via javascript
:
[HowTo] Display your latest threads on an external page using an RSS2 feed
[HowTo] Display your latest threads on an external page using an XML feed
[HowTo] Display your latest threads on an external page using an RSS feed
The problem with using the external.php feed to get the latest threads is that you are limited in the data you will get - Thread Title and threadid, author, date. If you want something like what your image shows, I think you will need to actually write a query and then format the output of that query.