hiya alex;
well ... OK, first things first; as a general rule AO is compatible with all and any plugin, if you configure it correctly as per the information in the FAQ.
as for your list; I have seen AO working with:
* A fully https/ssl site?
* Google Analytics by Yoast
* Responsive Lightbox by dFactory (well, not dFactory's specifically, but lightboxes in general. chances are you'll have to exclude jquery.js from optimization though)
* WP Slimstat (you might have to add "SlimStatParams" to the JS exclusion-list)
Excluding pages is possible using the API, there's example code for that in autoptimize_helper.php_example in the plugin.
hope this helps,
frank