Brief
On 28th July, 2013 USPS released minor structural changes to their existing services. Some shipping methods were renamed and an estimate of delivery day is added in the name. You have to update the script and rename methods to enable USPS back on your site.
Solution
1. Download this archive:
http://www.viart.com/downloads/usps_v4.zip
2. Unzip archive and upload 'usps_v4.php' into the 'shipping' folder of your shop replacing existing file.
3. Login to admin panel and go to Settings > Orders > Shipping Methods > Shipping Methods (USPS). Change "Shipping Code" field in the following methods:
Express Mail
to
/^Priority Mail Express \d+-Day$/is
Priority Mail
to
/^Priority Mail \d+-Day$/is
Express Mail International
to
Priority Mail Express International