Telepathy was the ability to transmit the thoughts from one brain to another. Therefore non-verbal communication. Aquaman had what was referred to as Aquatic telepathy, which allowed him to communicate telepathically with marine life. But he couldn't communicate telepathically to all Earth species. However he was able to communicate with marine life from other planets.
Mind reading was the ability to hear another person's thoughts inside their own mind.
Mind control was when someone dominates another person's will by taking over their mind. They could force the person to do whatever they wished them to do.
The ability to manipulate memories of others by erasing them and replacing them with new ones, whether false memories or not. This ability can also be used to bring suppressed memories out to the surface.
This ability involved manipulating a person's thoughts while they were asleep and dreaming. When a person was dreaming, they rarely were aware that they were sleeping, and so things could seem so real that they might as well have been real. Sometimes if an imaginary monster in a person's dream cuts the dreamer with its' claws, it seemed so real to them that even in the real, waking world, the cut manifested itself on the sleeper's skin. Doctor Destiny had the ability to manipulate dreams. He could even create such horrors in a dream that one couldn't awaken from unless they received help from another telepath who was already awake. Sometimes even when a person was aware that they were dreaming, it was impossible for them to awaken at will, because Destiny manipulated the dream to such an extent that waking up is impossible.
Psychokinesis was the ability to manipulate a variety of things with the mind. It could also be used to push or shove an opponent, as an attack. An alien race known as Balunians, had this ability, although they referred to it as Teleportation. One specific type of psychokinesis was telekinesis.
True Sight was a very strange mental power in which someone was able to perceive something for what it really was. In other words, if a shapeshifter was to take the form of a certain person, someone with the True sight would recognize this, and if a demon or some other similar type of alien race was to take possession of a human, someone with such a power would be able to see right through that. This is also the case with something that was invisible. Someone with such an ability would be able to see them nonetheless. For example, many times ghosts were invisible, but someone with "True Sight" would be able to see them. This is often also called "Spectral Sight."
Some characters were psychically linked. This meant that they could sense what they were feeling, or it could also have meant that they were able to hear each other's thoughts, much like telepathy, except it was only limited to the people who were mentally linked, and they were not able to transmit their thoughts to anyone else.