Unlike cartilage and bones, joints are more of an abstract concept referring to the location between two bones, more than a specific type of tissue. They can be fixed with no movement at all e.g. skull bones, or lubricated and enabling frictionless movement e.g. hip joints.
Types of joint are classified based on the type of movement they provide, as well as the structure of the bones they join. Hence, there are immovable/fused joints. They speak for themselves, and are represented by the skull, teeth and calf bones.
The skull joints are called sutures and keep the brain and sense organs protected, allowing no movement between bones except for a little flexibility at the beginning of life to allow for birth. Similarly, tooth joints (gomphosis) move minimally, but enough to enable teeth straightening with braces over time. The two calf bones are joined at the bottom by dense fibrous tissue, typical of immovable joints, and allow for little movement.
Onto the movable joints, we have gliding joints which are found on flat bone surfaces, hinge joints that move in a single direction, and ball and socket joints which can move in any direction within one plane.
Gliding joints are found between the tarsal and metatarsal bones in the hands and feet. They operate between flat-surfaced bones, and enable movement only in the bone surface plane.
Hinge joints are found in elbows and knees, and enable a hinge-like movement in a single direction of roughly 45-180 degrees.
Ball and socket joints are found in the shoulders and hips and enable a large range of motion, circularly and in opposing directions.