Mini PC

Small form-factor traditional computers have become popular for creating your own personal media server and set-top boxes using Plex or Jellyfin.  These are sold by many notable PC manufacturers, such as Intel NUCs or Dell's OptiPlex and Precision series.  There are other direct-to-consumer options like System76, BeeLink and GeekomPC.

Mini PCs can work well for a small personal media or cloud server, but lack the power to support multiple users.  Many computers in this form factor cannot support a graphics card or additional hard drives.  High-speed NVME hard drives are increasingly common, greatly improving performance for basic cloud servers.

Great option for hosting a small media server or a cloud solution for your family.

Your experiences may vary. 
Always make sure to test for stability when installing new services.

These types of computers uses the traditional x86 architecture which gives them more processing power at the cost of more power usage.  Depending on the model, they may use a desktop or mobile processor and have differing levels of extensibility for add-ons like graphics cards or hard drives.

These computers can be reasonably priced with a traditional x86 processor and expandable storage. Many mini PCs come with different connectivity options such as USB, HDMI, 3.5mm audio, optical audio, Ethernet, Wi-Fi and Bluetooth.