Sight: Gallifreyan’s eyes are able to see better in the dark and can gather any available light and enhance it within their vision, making for a more illuminated area than humans can perceive. They’re able to obtain a large amount of detail from distances of at least one hundred yards away, as well as seeing things that are beyond humans’ line of sight.
Hearing: In The Sound of Drums, the Tenth Doctor perceived sounds from the TARDIS, while aboard the airship Valiant that was located several sections away. This indicated that their hearing is much more acute and attuned to sound wave frequencies humans cannot perceive.
Taste: The taste buds of a Gallifreyan are capable of identifying an object (be it blood, wood type, metal composition, age of an object, origin of an object, or atmospheric composition) just by licking the object(s) in question.
Smell: Sense of smell is equal to that of their sense of taste, being able to chemically break down the components of the air with their sense of smell. They can even go so far as to determine the time period and location just by the smell of the air.
Proprioception: Gallifreyans are better at coping with any sudden changes in position than humans and are harder to disorient, their sense of balance remaining intact even after, for example, a sudden loss of gravity or dizzying turns.