The best open source alternative to Feedly is FreshRSS. If that doesn't suit you, our users have ranked more than 100 alternatives to Feedly and many of them is open source so hopefully you can find a suitable replacement. Other interesting open source alternatives to Feedly are NewsBlur, Feeder RSS feed reader, RSS Guard and Fluent Reader.
FreshRSS is a free, self-hosted RSS aggregator. It is quite lightweight, fast (it can manage +100k articles without complaining) and powerful (e.g. shortcuts, filters, responsive design, multi-views, multi-themes, multi-users, statistics, provides a Google Reader API, etc.)
NewsBlur is a personal news reader that brings people together to talk about the world. It shows you the original site and allows you to read stories directly off the site while keeping track of what you read. It also filters and highlights stories you like and dislike.
Feeder is a fully free/libre feed reader. It supports all common feed formats, including JSONFeed. It doesn't track you. It doesn't require any setup. It doesn't even need you to create an account!
RSS Guard is simple, light and easy-to-use RSS/ATOM feed aggregator developed using Qt framework which supports online feed synchronization.
It is free for Mac, Windows and Linux if you download it from GitHub, and it's paid ($2) for Android and iOS.
RSS reader shows you articles from your favorite blogs and news sites, and it keeps track of what you’ve read.
Just like its namesake, Capy Reader is a small RSS reader focused on approachability and simplicity.
Liferea is a web feed reader/news aggregator that brings together all of the content from your favorite subscriptions into a simple interface that makes it easy to organize and browse feeds.
This is a copy of Reeder, in order to give Android an RSS reader similar to Reeder, combines the interaction logic of Reeder with the design style of Material Design 3 (You).
As they say, your thoughts are what you read—and we’ve been consuming noisy feeds for too long! Follow organizes content into one timeline, keeping you updated on what matters, noise-free. Share lists, explore collections, and enjoy distraction-free browsing.
Twine is a beautifully crafted RSS reader app. Access all of your favorite feeds in a single app.
France
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it's not focused just in feedly but accepts various services, the interface is clean and it's fast. Haven't tried all of the other options to decide if it's the best out there though