Hypernym for human organs, body parts, etc

I wonder what's wrong with body parts. That phrase can be used for:

• Major parts of the body (arms, legs, head, torso, etc.)
• Internal organs (heart, liver, intestine, pancreas, etc.)
• Skeletal and circulatory components (muscles, bones, arteries, capillaries, etc.)
• Parts of the face (eyes, ears, lips, tongue, etc.)

All of these can be (and sometimes are) referred to as body parts.

These are usually called tissue:

tissue n.
5. Biology An aggregation of morphologically similar cells and associated intercellular matter acting together to perform one or more specific functions in the body. There are four basic types of tissue: muscle, nerve, epidermal, and connective.