Recs.
Updated
Inoreader is the ideal solution for most users. Particularly those that don’t want to spend too much time fiddling with configurations and preferences to set up a reader. Just download, install, add some feeds (manually or by importing subscriptions from a file) and you’re ready to go. Simple to use without sacrificing features, it offers all the key functions (with no annoying handicaps) with its free version along with extra customization and search features in the subscription version.
SpecsUpdate
Pros
Pro Premium users can search in all public RSS feeds, even in those that they haven't subscribed to
Cons
Con Can't have unread items older than a month
If you don't read items older than 1 month they are automatically marked as read, with no possibility to "unread" them.
Con Price change / Feature capping instituted
In February 2019 Inoreader announced that the "Professional" plan will be capped (big change from unlimited filters to just 30!):
Based on our observations, the new premium feature limits on the “Pro” plan are as follows:
10 Rules - *** Increased to 30 Rules after Inoreader evaluated feedback from their users.
30 Active Searches
100 Boosted Feeds
30 Social media feeds per service (Facebook, Twitter, VKontakte).
These limitations will be applied to your account at the start of your next subscription period. All features that you use above the new limits will be deactivated, and only those that were created earliest chronologically will remain (For e.g. your earliest 10 Rules created).
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Flagged Pros + Cons
Pro Android, iOS and web clients
Inoreader is available on Android, iOS, and as a webapp.