After a (fairly) long hiatus, I'm posting in this great forum again :)
Here's a list of most of the interesting Android apps I'm using. I didn't include some I use a lot because they are either too niche or local (country)-specific
These are the ones that I think will be of most interest to other forum members:
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aCalendar+: a different user interface for Gmail calendar (needs Gmail calendar as the back end) with some great additional features
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Adobe Acrobat: the Android version of Acrobat Reader. I just prefer to read pdf files with it than with other, more general, readers
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Bromite: in their own words "Bromite is Chromium plus ad blocking and privacy enhancements". Not my default browser, though
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CPU-Z: the Android version of the program. Lots of information about the smartphone's hardware
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Droid Info: similar to CPU-Z, but with some different info reported about the smartphone's hardware
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Flipboard: a magazine/RSS reader with a great interface. Can be customized with your own interests/news sources
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FolderSync: allows you to sync folders either within the device (including the SD Card, if present) or between the device and a cloud folder (Google Drive, OneDrive, Dropbox, etc.)
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Forvo: pronunciation app. Ideal for example for when you're wondering how to pronounce that difficult foreign word
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JuiceSSH: a nice SSH app. Can be enhanced with plugins
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Keepass2Android: a great app to keep your Keepass database available on your smartphone
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LAN drive: allows you to have a SMB server on your phone, accesible by your PC, for example. I use it to transfer files wirelessly between the phone and PC
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Moon+ Reader Pro: a wonderful reader app. After trying a few others, I settled for this one to read eBooks on my phone
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Movie Mate: an app that connect to your Trakt account and allows you to manage your movies (Watchlist, History, Ratings, etc.). There's alsoSeries Mate for TV series
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Network Cell Info Lite: gives you information about the signal strength of both your cell connection and your wifi connection. Lots of other info available (cell towers, maps, etc.)
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Nodescope: the best storage usage app I could find. If you're wondering what's using your phone's internal memory, as well as the SD card, this app has a very intuitive way of presenting that information
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Nova Launcher: to me, the best launcher for Android. It's a matter of personal preference though as there are a lot of diferent launchers out there (Lawnchair Launcher seems to have good reviews, for example)
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Opera: my default browser. I just prefer its user interface to Bromite's. Otherwise, I would use Bromite
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Phonograph: a music (/audio) app. Not too different from others, but simple and with a nice interface
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Ping Tool: as the name implies, a ping app to check different (customizable) hosts. But also with a lot of other features: DNS lookup, IP scanner, etc
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RealCalc: a calculator app. Has the interface of a classic scientific calculator
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SD Maid: a maintenance app. Allows you to free some space by deleting unnecessary files and folders and to "vacuum" SQL databases
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SkyView Free: just point it to the night sky and discover the names of the stars you're watching. Also planets, the ISS, the different constellations, etc. Wonderful app for those interested in astronomy
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Snapseed: a great photo editing app. Bought by Google a while ago. Very powerful, but at the same time not too complex. I just wish it would allow me to use a custom folder to save the edited images
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TED: the official TED Talks app for Android. Lots and lots of interesting content there (as those familiar with TED Talks know)
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VLC: video player app. I don't do a lot of video viewing on my phone and VLC is more than enough for my needs
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Wifi Analyzer: for quickly finding the signal strength of the local and neighboring wifi netwoks
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List made using
List My AppsI apologize for not including the links to each app. Most of them I install from either Google Play or F-DroidList updated with the links for each app, thanks to the suggestion of List my Apps by rjbull