However, there's an official guide by the Adobe staff that you can follow and you can install and update the Flash Player...
http://forums.adobe.com/message/4675670#4675670
A very BIG thanks to Chris Campbell for delivering this good article!! :D
Get the APK by scrolling the page to the Android section...
http://helpx.adobe.com/flash-player/kb/archived-flash-player-versions.html
...and why SONY still haven't updated the page about "Flash Player can be easily installed through Google Play Store" statement?
For the upcoming Jelly Bean (4.1+) user, you might want to see this thread...
http://forum.xda-developers.com/showthread.php?t=1774336
Cheers to all and I wish you a very merry Christmas and a happy New Year 2013!
Cheerio,
Trubo
