The devices listed are Android hardware devices that have the approval of XBMC KODI as official and compatible hardware platforms for running XBMC KODI and various add-ons. Do not consider any other devices you may find online. These are guaranteed to work properly with XBMC KODI.
Amazon Fire TV
Amazon Fire TV is an Android-based (Fire OS) set-top-box that contains a very powerful ARM processor (that can even handle some of the more heavy XBMC skins). Fire TV stands above some of the other Android-based offerings due to Amazon's strong product support and because it contains more remote friendly versions of Netflix, Amazon Prime Video, and other video service clients, making it a good pairing with XBMC/Kodi.
Amazon Fire TV Stick
Amazon Fire TV Stick is a newly announced low cost Android-based (Fire OS) set-top box in a HDMI-stick format. Amazon Fire TV Stick contains a little less powerful ARM processor but technically provides all the same features as its big brother, Amazon Fire TV.
Both Amazon Fire TV Stick and the original Amazon Fire TV stands above some of the other Android-based offerings due to Amazon's strong product support and because it contains more remote friendly versions of Netflix, Amazon Prime Video, and other video service clients, all this should make it a good pairing with XBMC/Kodi.
Google Nexus Player
Nexus Player is an x86-64 (64-bit Intel Atom CPU) based Android digital media player co-developed by Google and Asus. Running the Android 5.0 "Lollipop" operating system, this Nexus Player was the first device to employ Google's Android TV platform.
MK808B Plus (not to be confused with the very different MK808 or MK808B), is a small ARM-based Android "stick" hardware that uses an Amlogic S805 SoC chipset. MK808B Plus is also able to run XBMC/Kodi on Linux using unofficial third-party firmware images of example OpenELEC.
While the integrated WiFi support in it is not great, but for about $35 USD, the MK808B Plus is a fairly decent 1080p set-top box device for cheap that can decode all the most popularly used video codecs today, including HEVC (H.265).
Nvidia SHIELD Console
Nvidia SHIELD Console is an upcoming next-generation Android-based set-top box and game console that will contains a very powerful ARM processor, (and should be able to handle the most heavy of XBMC/Kodi skins). It will be one of the first Android-based which features high-fidelity audio support, HDMI 2.0 output, and is built to handle Ultra HD digital media playback and output in 4K resolution at 60 Hz, including 60 frames per second decoding of the more recent HEVC (H.265) and VP9 video codecs.
Running the Android TV operating system (based on Android 5.0 "Lollipop") on a Tegra X1 SoC (System on Chip), the Nvidia SHIELD Console will stand above most of the other high-end Android-based hardware offerings not only because of its graphics and audio capabilities, but also because due to Nvidia's strong product support. It will come with remote friendly versions of Netflix, Hulu, Google Play Movies, YouTube and other video service clients, with many supporting videos in 4K (Ultra HD) resolution.
Adding to that its comes with Nvidia's gaming ecosystem capable of running all graphically intensive AAA ("triple A") games for Android in 1080p at 60fps, as well as supporting Nvidia's low-latency GameStream technologies for GeForce-equipped PC game streaming, and Nvidia's GRID cloud game-streaming service.. All this making it a very good pairing with XBMC/Kodi.
ODROID-X is a series of powerful ARM-based single-board computers (developer boards), manufactured by Hardkernel Co., Ltd., an open-source hardware company located in South Korea, capable of running Android or Linux. XBMC/Kodi should work on Hardkernel ODROID-X, X2, U2, U3, XU, XU2, XU3 and XU3 Lite.
The ODROID-X series was primary designed to act as a development platform for developers wanting to prototype embedded systems based on Samsung Exynos 3, 4, and 5 series of System-on-Chips (SoC), but have since also been made popular for multi-purpose use by low-power device enthusiasts and hobbyist alike, including those using it for as HTPC (Home Theater PC) for XBMC/Kodi.
OUYA is an Android-based game console and set-top-box that contains a relatively powerful ARM processor that can handle most heavy XBMC skins, in addition to outputting video in Full HD (1080p). The first version of XBMC to officially support the OUYA was v13 "Gotham" which can easily be sideloaded. Two unofficial versions are also available; "XBMC for Ouya" (an unofficial build submitted to the Ouya Store by Ouya themselves (which lacks DTS and AC3 audio decoding support due to licensing issues) and "SPMC" (a fork of XBMC released by XBMC developer Koying that have Ouya support but must be sideloaded).
Pivos XIOS DS
Pivos XIOS DS is an ARM-based media player set-top box that can run XBMC on either Android or Linux. This Pivos XIOS DS was the original reference hardware target for the XBMC for Android port development. Pivos XIOS DS performs roughly at the level as a jailbroken ATV2, but also comes with USB ports, micro-SD card, and doesn't need to be jailbroken.
Pivos XIOS XS
Pivos XIOS XS (or "XIOS XS Media Play") is an ARM-based media player set-top box that can currently run XBMC/Kodi on Android, and in the future might also be able to run XBMC/Kodi on Linux using unofficial third-party image firmware, similar to its predecessor Pivos XIOS DS.
This Pivos XIOS XS and its predecessor Pivos XIOS DS doesn't need to be jailbroken and was previously both reference hardware target for XBMC/Kodi on Android development. While Pivos XIOS DS only had a single CPU core and performed roughly at the level as a jailbroken ATV2, Pivos XIOS XS have a dual-core CPU which can perform about twice as fast as its predecessor. Both also come with comes with USB ports, micro-SD card, Ethernet port, integrated WiFi, and a remote control.
CuBox-i series (which includes CuBoxTV) is SolidRun's second-generation family of multi-purpose ARM-based mini-computers that is capable of running either XBMC/Kodi on Android or on Linux, both using firmware images provided by SolidRun development team and third-parties of which many comes with XBMC/Kodi pre-installed.
With its hardware built around SolidRun MicroSOM platform the CuBox-i series uses scalable and open source friendly Freescale i.MX6 family of SoC (System-on-Chip) ranging from a single to quad ARM Cortex-A9 processor cores, 2D/3D hardware graphics processing unit, video decoding and encoding acceleration hardware, and HDMI 1.4 1080p 3D output support.
WeTek Play is an ARM-based media player device that can currently run either XBMC/Kodi on Android or on Linux, both using official first-party firmware images provided by WeTek development team which comes with XBMC/Kodi pre-installed. WeTek Play is also one of the first XBMC/Kodi based set-top box devices that have support for integrated DVB TV-tuners, which are currently fully functional via plug-and-play under Android and Linux in combination with Tvheadend PVR backend or VDR PVR backend and its matching PVR client addon for XBMC/Kodi.