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Google Play Store
Google Apps on Google Play
Amazon Appstore for Android
F-Droid - FOSS repo

Android Twitter - reddit android beta - Google+ Android

Android Development:
Android Developers
Java SE (Java JDK)
Android Studio and Tools

Android-x86 - Porting Android to x86
XDA Developers
LineageOS - Download - Devices - github - Wiki

Amcrest View Pro - view Amcrest wireless cameras
Aurelio's Pizza
Chase Mobile
CloudPlayer by doubleTwist cloud & offline player - music player
Collabora Office - Office Suite - can view and edit LibreOffice files
Compass PRO - Gamma Play Tools
Datally: mobile data-saving & WiFi app by Google
Discover Mobile
DJI Fly - Drone software for DJI Air 2 for Android (not on Google Play Store anymore, direct download install)
Dropbox - Store files and pictures on Dropbox and share between PC and Android
Fidelity Investments
Fifth Third Bank Mobile Banking
Files by Google: Clean up space on your phone
Firefox Browser fast & private - Web browser - uBlock Origins - Adblocker Add-On for Firefox web browser
Firefox Focus: The privacy browser - ad/tracker blocking web browser
FolderSync - (ads) sync phone folders to and from cloud
FX File Explorer - File manager with $ option for SMB shares +
GasBuddy - Find Cheap Gas
Google Chrome: Fast & Secure - Web browser
Google Home - Chromecast interface
Google Opinion Rewards
Google Translate - Translate text on web sites
Google Voice
Hangouts - Chat Client
Hangouts Dialer
Harmony - Control your home from your Android smartphone
hueDynamic for Philips Hue Pro - $ - Philips Hue system interaction software
Magic Flames: fire simulation sandbox & wallpaper (Mad Scientist) - $ - Colorful fire drawing app
Magic Fluids (Mad Scientist) - $ - Colorful liquid drawing app
Meijer - Meijer supermarket
Mint Mobile
Music Flow Player
My Stocks Portfolio & Widget - Stock Price Streaming Widgets
MyQ Garage & Access Control - Control your garage door
MyRadar Weather Radar Ad Free - $ - weather radar app
Naperville Public Library
Netflix - Watch Netflix on your Android device
Network Analyzer Pro (Jiri Techet) - $ - WiFi/cell phone network info plus Internet speed, etc...
Net Signal Pro - $ - check WiFi signal strength and cellular signal strength
Opensignal - 5G, 4G, 3G Internet & WiFi Speed Test - Find cell tower and test cell signal
Palabre Feedly RSS Reader News - Subscribe to and read various news channels
Philips Hue - Control your Philips Hue products
Potbelly Sandwich Shop
QuickEdit Text Editor Pro - Writer & Code Editor - $ - text editor (no ads) (Rhythm Software)
scan my tesla - "real-time readings from Tesla Model S, 3, X, Y diagnostics port"
Scanner Radio - Fire and Police Scanner - live fire and police streaming scanner
Scanner Radio Pro - Fire and Police Scanner - $ - live fire and police streaming scanner

SMS Backup & Restore - Backup and Restore SMS text messages and call logs (when getting a new phone, to copy to new phone)

mySolarEdge - New SolarEdge Monitoring - Monitor your solar panels production via your SolarEdge inverter
SolarEdge - "Old Expiring Soon" SolarEdge Monitoring - Monitor your solar panels production via your SolarEdge inverter
Solid Explorer File Manager - File manager with $ option for SMB shares + (trial ware)
Speedtest by Ookla - Test your WiFi or Cell Data Internet connection speed
UE Boom & Megaboom by Ultimate Ears - Logitech UE Megaboom app
VLC for Android - Video/Audio file playback
Wallpapers - phone wallpapers
Weather Elite by WeatherBug - $ -weather
WGN Weather - weather
WiFi Analyzer Premium (abdelrahman) - $ - Show what WiFi channels are in use at your location

Adobe Scan: PDF Scanner, OCR
Airdroid - Web
Allrecipes Dinner Spinner - recipes app
Ampere - show power levels while charging or using phone
Android Samba Client - Access SMB file shares from Android Downloads/Files app
ARuler - AR Ruler app and Floorplanner
Backgrounds HD (Wallpapers)
Brave Browser: Fast AdBlocker - Web browser with adblock
Brother iPrint&Scan - Brother Printers - use to print from Android to your Brother printer
CamScanner - Scanner to scan PDF
Christmas Live Wallpaper
Chromecast - Connect to a Chromecast device to view video and audio
Chrooma Keyboard - Emoji - Colorful alternate keyboard
Chrome Remote Desktop - remotely control your PC from Android phone - Web App
ConnectBot - SSH client
Feedly. Your work newsfeed. - Subscribe to and read various news channels
FEMA - Federal Emergency Management Agency (weather emergencies)
Foursquare City Guide - Find places to see or eat at
GlassWire Data Usage Monitor - monitor your mobile data usage, data limits, and WiFi Internet activity in real-time.
Google Spotlight Stories - immersive stories
GPS Test - Free version
GPS Test Plus Navigation - Pay-For version
HERE - GPS navigation with downloadable maps
Hoopla Digital - online library. Borrow ebooks, audiobooks, movies, music, comics, and TV shows, etc...(web link)
Jota Text Editor - Text file editor
JuiceSSH - SSH Client
Klara Weather - Weather app
Kodi - Media & Video
LTE Discovery - Show LTE signal information
Light Flow - LED & Notifications
Material Terminal - terminal emulator
Measure - measure objects using camera
Muzei - blurred background art
MX Player (with ads) - Media Player
MX Player Pro (Pay for version - ad-free) - Media Player
My Tracks - Map your jogging/biking/driving route + statistics
Nest - Nest Thermostat and other products app
NETGEAR WiFi Analytics - Scan WiFi signals
Newpipe YouTube alternative
Now Playing History - shows history of Pixel phone's "Now Playing" music identification ability.
OI File Manager
OI Shopping list - Shopping/TODO lists
Okta Verify - VPN software
PhotoScan by Google Photos - scan old paper photos to computer
Plex for Android - Media & Video
QuickEdit Text Editor - text editor (ads)
Remote Desktop Manager - Remote RDP/VNC/ARD/SSH/SSH Tunnel/Telnet/FTP/SFTP/SCP/etc...
Signal Private Messenger - encrypted messaging application
SignalCheck Lite - check signal strenght of your connection
SignalCheck Pro - $ - check signal strenght of your connection
Snapseed - photo editing
TeamViewer - Remote PC control
Telegram - encrypted messaging application
Terminal Emulator
Tiny Flashlight + LED - Use your phone as a flashlight
Vysor - chrome extension that lets you control your Android phone from you PC
Waze Social GPS Maps & Traffic - GPS navigation with traffic
Weather Underground - weather app
WhatsApp Messenger - messaging app
Wifi Analyzer (farproc) - (has ads) - Show what WiFi channels are in use at your location
WiFi Analyzer (abdelrahman) - (has ads) - Show what WiFi channels are in use at your location
WiFiAnalyzer (open-source) - Show what WiFi channels are in use at your location
WPS Office - Word, Docs, PDF, Note, Slide & Sheet
YouTube TV - Watch & Record Live TV
Zedge Ringtones & Wallpapers

Drone related software:
UAV Forecast

Google Voice - Get an alternate phone number routed to your phone or tablet and manage calls
Electric Vehicle Apps:
A Better Routeplanner (ABRP) - Electric Vehicle Navigation - Web Link
Drag Racer - car performance 0-60 mph 1/4 mile GPS (Mariusz MiĊ‚ejko)
TezLab - Track electric vehicle trips

100 Doors
Alien Ride
Alto's Adventure
Asphalt 8: Airborne
Bad Piggies HD
Bansai Blast
Beach Buggy Blitz
Bejeweled Blitz
Burger - The Game
Candy Crush Saga
Carmageddon Promo
Coin Dozer - Free Prizes
Crazy Taxi Classic
Crossy Road
Cut the Rope FULL FREE
Dead Trigger 2: First Person Zombie Shooter Game
Despicable Me: Minion Rush
Dots: A Game About Connecting
Dumb Ways To Die
The Game of Life
Goat Simulator
Goat Simulator GoatZ
Hoodie Ninja
Hungry Shark 3 Free!
Hungry Shark Evolution
Ice Age Village
Jewels Star
Love You to Bits
Lumino City
Mahjong Fantasy
Marble Legend
Monument Valley
Monument Valley 2
Old Man's Journey
Plague Inc.
Riptide GP2
Samorost 3
Snoopy Pop
Sonic 4 Episode II LITE
Sonic Dash
Space War Free
Sprinkle Free
Stranger Things: The Game
Super Monsters Ate My Condo!
Threes! Free
Tupsu-The Furry Little Monster
Verne: The Himalayas
Wind-up Knight
Wind-up Knight 2
Zombieville USA
Zombie World War
Android Old

Not recommended anymore:
ES File Explorer File Manager - Manage files on your Android