Tyranitar Movesets

Choice Band-Jolly Nature-Choice Band
Crunch
Stone Edge
Pursuit
Aqua Tail/Earthquake/Fire Punch

Crunch and Stone Edge are both very powerful moves for Tyranitar. Pursuit lets you catch Ghosts and Psychics on the run. Aqua Tail is good at taking out Defensive grounds like Hippowdon and Gliscor. Earthquake and Fire Punch are for the ever present Steels. Earthquake is stronger, but Fire Punch hits Skarmory and is more powerful against Bug/Steels. Fire Blast can also be used to OHKO Skarmory and still hit other Steels.

Dragon Dance-Jolly/Adamant Nature-Life Orb/Leftovers
Dragon Dance
Crunch
Stone Edge
Fire Punch/Aqua Tail

This moveset lets Tyranitar be faster and still have good attacking power but does need time to set up. The attacks are there for the same reasons as the Choice Band Set

Choice Scarf-Choice Scarf-Hasty/Naive Nature
Fire Blast
Ice Beam
Crunch/Stone Edge
Earthquake/Stone Edge

This moveset takes many by surprise. Ice Beam takes down bulky Grounds and Dragons. Fire Blast takes out Steels. Stone Edge and Crunch are your strongest options because of STAB, but Earthquake is always good for type coverage. Super Power can also be used for Blisseys.

Counter-Adamant Nature-Leftovers
Dragon Dance
Counter
Stone Edge/Crunch
Earthquake

Dragon Dance will most likely lure in a Tyranitar counter like defensive Grounds, Gyarados, or Bronzong. You can easily KO all of these with Counter, and then Tyranitar can sweep virtually unchallenged. Stone Edge hits harder than Crunch but both are good options.