Not here it isn’t and I’m using 2014.9.0.2008 free version on Windows 7 Pro 64 bit.

If you can provide some additional information you will stand a better chance of a meaningful answer.

(a) What error messages do you get when you try unsuccessfully to access a website?
(b) Are you using the free version (no firewall), or a paid version with the firewall?.
(c) What browser are you using to access the web sites, Firefox/Internet Explorer/Chrome/other, and what specific version?.
(d) Have you tried disabling the AOS browser add ons?
(e) What AV system did you have before you installed Avast 2014, and how did you remove it. Did you use the appropriate product cleanup tool.

Can you post a link to one of the web sites you can’t access?.