It’s a regular 80s-era TV set, specifically a Ferguson MC01 (from a 1986 Argos catalogue, see this article): the buttons are volume, brightness, contrast, colour, and channel selection buttons. This particular model was designed to be computer-friendly, with RGB support and automatic switching. Ferguson also produced an add-on for 48K ZX Spectrum computers, the MA20, which provided RGB output for use with such TVs (also mentioned in CRASH).
The joystick wouldn’t be connected to the TV itself, but to a computer connected to the TV.
Your photo is a screengrab from Black Mirror: Bandersnatch, and the game shown is the titular Bandersnatch, one of the fictional Tuckersoft games. This also explains the UK spelling on the TV, which can be seen in more detail in this featurette. The computer would be a ZX Spectrum.
(Thanks to Tommy and Michael Graf for contributing to this spelunking adventure.)