Improve the Categories widget in the sidebar?

Yes you are right, its already in our task list. And you can expect this fix in next update. We will add a dropdown similar to GitHub which provide input field to search in dropdown.

Next update?

You can expect it before 31st January.

Can I hide Answer from public

Yes you can, simply override answer.php and add your conditions. Please search our site for previous replay.

Hide answer from anspress banned users?

This will be added to AnsPress core in next update.

I need facebook share social buttons after each question

AddToAny Share Buttons   you can use this   it works really fine, and it is mobile responsive too

How can I change editor of Anspress

Currently editor is hard coded to TinyMCE only. As many function like: image insert and syntax highlighter depends on it. But will make editor customization soon.

AnsPress compatibility with php 5.6 ?

I’m using it with PHP 7.0.1 so I assume it would work fine! 🙂

AnsPress compatibility with php 5.6 ?

No problem with PHP 5.6 and PHP 7.0.1

How can I add more ap-category-icon (Icon for Categories)?

Interestingly, I just came across this article How to Assign Icons, Images, and Colors to Categories and Tags in The WordPress Backend by Jeff Chandler, which explains how you can do it if you DON’T have AnsPress/AskBug installed. Apparently it requires three or four separate plugins, depending on your WordPress version.

Warning: strpos(): Offset not contained in string in …

This issue is fixed. Please try from GitHub.