The TARDIS consists of a Domain (also known as the inside of the TARDIS), a Control Console that is invested with Gossamer powers and which generates the outer appearance (or manifestation) of the TARDIS when it connects to a World. The Console bestows the Domain it is within to its operator.
The following powers are part of the Control Console-
Personal Domain (1) - the inside of the TARDIS is a Domain controlled by the Console
Restricted Access (2) - the TARDIS is shielded - only special vulnerabilities when travelling that lower its defenses would allow intruders
Control of Destiny (4) - the TARDIS materialises when required, and can be summoned with a TARDIS Key
Immense Vitality (4) - the manifestation of the TARDIS that is generated by the Control Console can withstand tremendous amounts of damage. This vitality does not apply to the Console itself or other parts of the Domain
Engine Speed (4) - the manifestation of the TARDIS in the new series of Doctor Who may move as though it were a vehicle. Classic Doctor Who TARDISes do not have this power.
Peak Stamina (1) - the TARDIS uses stamina to connect to Worlds. However, in order to go to a different dimension (if using Option B) increase this to Paragon Stamina (2).
Invulnerable to Conventional Weapons (4) - again this applies only to the manifestation of the TARDIS, not the Control Console or the Domain
Able to Translate and Limited Intelligence (2) - The TARDIS is almost sentient
Danger Sensitivity (2) - The Hostile Action Displacement System
Psychic Resistance (1) - The TARDIS is not open to many psychic attacks.
Search Through Worlds (4) - The TARDIS is not able to enter the Grand Stair itself, but can search through Worlds to find the outcome desired by its operator and manifest in that World.
Mold Gossamer Reality (4) - This is a major difference from other ways to travel through Worlds - the TARDIS Control Console is able to manifest a Door in the World it wishes to travel to (called in the show “materialisation”). It doesn't use an existing door and turn it into a Door - but instead reaches out to a World, molds the Gossamer into a shape with a door, and connects to it with a Door. — Note: this power is also used to “reconfigure the TARDIS” and allows the Console to reshape the Domain it resides in into anything its operator requires.
Self Healing (1) - Damage to the manifestation or Domain of a TARDIS is not “repaired” in the sense that healing would be used. It's Gossamer, so it is Molded. However the Control Console itself is able to gradually repair itself - regaining its powers.
Named & Numbered Alternate Forms (2) - The Control Console has a number of “desktop themes” it uses to match the control room part of its Domain.
True Name is Known (1) - The operator of a TARDIS knows its True Name.
Confers Quality (5) - The TARDIS is able to confer the translation quality on its users.