Computer/alternative advice

Any suggestion would be welcome. I’m on a budget and I heard there is a computer-like device that you can plug to the TV and acts like a computer. Its actually a storage/server for some and it sells online for 300$. A friend never caught the name of the device but the point is there. Any advice on the name and if its a good solution in case of gameplay?

My Computer:

Azulle Access Plus
1.92Ghz Quad-Core Atom Z8350
4GB Ram
Windows 10 licensed O.S included
Intel HD Graphics (Cherry Trail)
32GB SSD storage (i also use a 256GB USB 3.0 stick with it btw)
1 USB 2.0 & 1 USB 3.0 port
Gigabit Ethernet port
Micro SD card slot
Fanless/No moving parts. 100% quiet.
Low power draw

Yup. I’m a fan of compact PCs. It’s not a modern gaming powerhouse but, its plenty fast enough to do everything else. Plays any HD video i throw at it like a champ, netflix, web browsing, blu-ray burning, etc. Yeah you could probably use it like a headless server if you wanted.

Plugged into the back of my Tv’s HDMI port. Takes up zero space.

Costs about $150 New.