Google Reader Alternatives

Google Reader will not be available after July 1, 2013.
Here are some Google Reader alternatives you can probably try out, before Google Reader turns off the lights.

Feedly http://www.feedly.com
Currently sync with Google Reader, and they're building a new syncing engine so users can continue using the service even after Google Reader shut down.
Feedly offers browser extension, mobile app for iOS and Android.

NetVibes http://www.netvibes.com
Import your Google Reader subscription by export them from Google Takeout (https://www.google.com/takeout/), or re-subscribe by pasting in URL.
Netvibes have a mobile site designed for smart phone.

If This Then That (IFTTT) https://ifttt.com/ 
IFTTT is a service that lets you create connections between difference services. You can create a RSS connection to post to your Twitter, or email to yourself, or etc.

Boxcar http://boxcar.io/
Add RSS and read them online with Boxcar. Boxcar offer mobile app for iOS, with push notification support. Boxcar is supported by IFTTT too.

Facebook / Twitter
Alternatively, you can find out the Facebook / Twitter page of the website you currently subscribed, and try to follow from there.