Much like the Fire TV Stick 2 before it, the new Fire TV 3 supports external peripherals through a USB OTG cable. This means that, despite not having any external ports, you can still connect things like USB drives, keyboards, mice, game controllers, ethernet adapters, and more.
The different Micro USB OTG Adapters and Accessories that work
Ethernet Adapter for fire Stick TV Cube, Google
LAN Ethernet Adapter with 3 USB Port Hub with Micro USB Power for
Fronix 4-Port C Type Micro USB OTG Hub Adapter (3 USB Ports +
Flirc Fire TV Edition - Flirc
Fire TV Stick 4K supports external USB drives and USB
DSYJ DSYJ-D0000101 Micro USB Host OTG Cable with Micro
Inteset IReTV USB IR Receiver & USB Y Cable for use
FLIRC USB (2nd Generation) Universal Remote Control Receiver for
Connect USB devices and Ethernet to your Fire TV Stick
Do I really need an OTG cable to connect devices to the AFTV 3rd
Everything you can do with the Fire TV Cube's Micro USB
Flirc Fire TV Edition - Flirc
Fire TV 3 supports USB Peripherals via OTG Cable