This post is provided as an easy to use repository for links to useful software for the Nvidia Shield TV that can't be found on the Play Store. While the focus is on the Shield TV, this list should also be useful for other Android TV devices.

All the links are for nightly builds, and the ARM64 CPU architecture where available (this is the one found on all the Nvidia Shield TV consoles):

Aptoide TV - Third Party Android store

Kodi - Home Theater Software

Dolphin - Wii Emulator (Scroll down a little to see the Android nightly builds)

SPMC - Kodi fork focused on fine tuning for the Shield TV

PPSSPP - PSP Emulator

RetroArch - Crossplatform gaming platform

Reicast - DreamCast emulator

Other cool stuff