Detective: superior (rank 2)
In life he was knowledgeable.In death, he became free of mortal restraints and could observe the world in ways and means that we as mortal beings are still blind to. He can look at your hand and deduce what you do for a living. He could look at your spirit aura and tell what your feeling and how strongly you feel about something. The possibilities were staggering to him. Plus, picking up tips from a centuries worth of reformed dead criminals, detectives and other agents of law and chaos has to count for something. In honor of the author who started him on the path to Scotland yard, Vimes calls this ability "The Sherlock Scan." Its the only thing he ever truly relied on. All the other extras he got in death were a bonus.
Phasing: standard (rank 1)
As a ghost, he retains certain abilities. Such as the power to walk through walls or any other physical barrier. However as a ghost, he also retains certain drawbacks. Such as an aversion to salt. Or certain holy artifacts. He can't cross them or get near them, though for his works sake, he has been allowed to enter church's.
Invisibility: standard (rank 1)
Unless he wants you to, or if you have the Sight you can see him. Otherwise, to an observer you'll just be conversing with empty air.
Mind Control: standard (rank 1)
Having the abilities pertaining to psychokinesis can be useful. For instances, to create distractions he can influence a small crowd or control a swarm of animals depending on the situation. But as regards to singular control, he has yet to master.
Telekinesis: standard (rank 1)
In a fight or when affecting the living world, Vimes relies on Telekinesis. The ability to move objects with his mind. He's become quite good at this and has manipulated small objects like wrist watches in his investigations or used it as a weapon, pummeling people and objects like a pugilist.