Yes, I still use RSS every day. I initially started using RSS as a way to manage my favorite webcomics. For this purpose, it is still a killer application.
Do you find yourself checking your favorite comic sites every day, or even multiple times a day? With RSS, I don't have to. I add the site feed to FeedDemon in my Comics folder, and I can easily see when a new comic is posted. The only problem is when the site changes their software around, the RSS URL can change and you just stop receiving updates until you fix it.
This works for a lot of things. I use it for low-traffic Reddit subs that I want to see 100% of the posts for without having to visit them individually. Obviously, I use it to monitor news posts for people, games, and projects I follow. I know when updates and patches to games roll out without having to visit the site every day. I have even subscribed to certain Twitter personalities that don't post very frequently.
Another killer application of RSS is deal feeds. I subscribe to a handful of sites like Hot Deals Club, BensBargains, Dealcatcher, etc. I don't read them directly -- I use a feature of FeedDemon called Watches. I can set up keyword triggers and be notified when I receive a feed update with that keyword(s).
Let's say I'm shopping for a new SSD. I create a new watch called "SSD" and I put "SSD" as the keyword. Every time I get a hit, it shows up in my watches under that heading. I basically get informed of any sales on SSDs anywhere. I can even limit the folder so I only get hits from my deal feeds. Otherwise, I just ignore the deal feeds folder and just mark them read every time I refresh my feeds.
FeedDemon literally saves me hours a day I used to spend just going through my bookmarks folder. It also saves me money when I'm shopping for something that I don't need right away.
There's too much going on these days to personally keep up with it all without wasting a significant amount of time browsing and skimming every day. I think Agents are going to be big once they really get going. Alexa and Siri and Cortana are the "rock on a stick" version of real Agents. Once they mature, we'll be better able to monitor the things we're interested in and get summaries of new topics instead of the same shit repeated over and over at every site.