Prosthetics

Limb replacements. Cybernetic, artificially grown, or maybe something else, prosthetics categorizes every type of limb replacement.
There's three main types, separated into a few sub-categories.
Cybernetic:

Motor-based

Artificial muscle fiber-based

Biological:

Grafting

Grown from scratch

Non-human parts
Cybernetics are the prosthetics you and I are most familar with. Mechanical, robotic, whatever you want to call it. They're usually attached via a port of sorts, to and from which nearly any kind of cybernetic limb can be attached and detached. The two main types are listed above, and they go as follows; Motor-based ones are the ones you likely are familiar with. They are essentially tubes moved by motors, servos, or the like at their joints. These are quite common, and offer a reasonable degree of dexterity. They also have the advantage of being able to be built as much stronger than their counterparts. Those counterparts are the artificial muscle fiber prosthetics. These are considerably more advanced, to the point where they're quite rare outside of big clusters or advanced nations. These emulate a human arm with mechanical, artificial, muscle fibers. They function nearly identically to a human arm, but have a lot of the weaknesses.
Biological arms involve attaching an existing arm onto the place where the arm was before. In practice, the procedure is the same in both setups. The difference is in where the arm is acquired from. The less high-tech method is to get another person's arm. However that is done, it's then attaches onto the stump, nerves, veins and tendons connected, and so on. These have an amount of time to get used to, which obviously depends on the arm itself, and how different it is from the person's it's being attached to. The other method is to grow an arm from scratch. This yields a much more compatible and fitting arm, but is very high-tech.
The non-human parts is a bit off on the name, as they refer less to limbs taken from other creatures, and rather to limbs not like human ones. I'm talking swords for arms, wheels for legs, or some kind of custom-made gorilla-style arms. This is quite rare, and is done with both of the main methods, cybernetic or biological. It's also somewhat looked down on.
Prosthetics like this also avoid the issue of Cyborg Fever because they aren't inside the body, but separate.

Utility

Artificial limbs. If you lose, say, an arm, you can get it back quite easily, and continue on your life nearly the same. Exactly the same, if you're in the core worlds, for example. Also popular in military settings, for obvious reasons.
Some people also voluntarily replace their perfectly functional limbs with prosthetics, be that for utility, like having a industrial-strength arm, style, or just prestige. There's some cultures that value cybernetics of all kinds. Coincidentally, those people are also vulnerable to cyborg fever.

Access & Availability

Depends on the type. The mechanical, cybernetic ones are widely available everywhere, even if the muscle-fiber-based ones are a bit rarer. Biological arms, especially ones grown from scratch, are a recent technology and as such, only really available near to the Core Worlds.

Discovery

Primitive prosthetics have been around since 950 BCE, but only in the 2080s did they become properly available, able to move like a natural arm.

Motor-based; 2090s

Artificial muscle fiber-based; 2420s

Grafting; 2310s

Grown from scratch; 2820s

Non-human parts; 2320s