How to either remove user avatar from displaying or make them really small?

This may be due to your theme. You can hide avatar using this css https://gist.github.com/rahularyan/5a3ae606620ebba805f4

How can I combine buddypress notifications and anspress notifications

Combine with whom? AnsPress notification to BP or BP to AnsPress ? If you want AnsPress notification in BP then its done by default, but BP notification cannot be shown in AnsPress.

All content inside a particular page

There is ask form widget you can use it, if you wish to show ask form in other places. There is status button below post (only admin) AnsPress have only one shortcode [anspress], for more information about shortcode read docs.

Override CSS

So is there no way to just allow anspress to use the WP theme of the site? The thing is I am choosing themes and I would like to test each of them with anspress while choosing.   Thanks!

Suggested Feature: Embedding Web Pages

WordPress have oEmbed feature, which auto parse video links from popular site. I think that will be worth in your case.

Turkish Translaion

It was existed before but was outdated, you can downlaod outdated one from here Download ap-tr_TR.po. You can update it using poedit.

AnsPress and Shareaholic

Please refer this issue to Shareaholic plugin developer, as they are hooking their codes in the content so its appearing everywhere. I hope there may be an option in that plugin to disable their content by post type. this is not a big issue, I hope they already have answer. Cheers.

Anyone else having Subscribe/Unsubscribe issues?

Hi for first issue, do you check your cache plugins? for second, refresh your single question page. Good luck!