Any idea why blogroll-links has stopped working?

Could it be because you’re running a really old version of WordPress?
Have you considered upgrading?

Same here.

I’m using WP 3.5 and Blogroll Links 2.3.

I was able to get it working again by downgrading the plugin to version 2.2.

Thanks echuter,
I downgraded and everything back to normal. I may try and dig into why. If I get anything usable, I will post it here.

My client’s plugin stopped working as well. I was able to find this issue:

Line 160:

$sql = sprintf("SELECT term_id FROM wp_terms WHERE slug = '%s' LIMIT 1", $category_slug);

Her table had a DIFFERENT PREFIX. By putting in the correct table name for the ‘wp_terms’ table, the plugin began working correctly again.

Hope this helps!