Ahh, Tyranitar. Not really much has changed, although I just noticed it has access to Outrage, and it can even get it together with Dragon Dance through Charizard, never knew it got that. Lets go
Tyranitar @ Choice Band
Sand Stream
Adamant: 4 HP / 252 Atk / 252 Spd
-Earthquake
-Stone Edge
-Ice Punch / Outrage / Superpower / Low Kick
-Crunch
Choice Band Tyranitar. Earthquake and Stone edge are well known combo, and Crunch is a reliable STAB move with 100% accuracy, since Stone Edge has only 80% accuracy.
Outrage has a neat surprise factor coming from non-dragons, although even without STAB, it'll hit hard thanks to Tyranitars massive attack stat and choice band boost. Needless to say, the likes of Kingdra, Sazandora, and Ononokusu certainly will be surprised if they switch in expecting to take an attack like Ice Punch or Stone Edge and getting an Outrage, although it doesn't shine as much as it does on Rayquaza or Salamence because it lacks STAB.
In Ubers, there isn't much that it can't cover with it's other moves. Zekrom only takes a bit more damage from it than from Earthquake, against Rayquaza and Reshiram Stone Edge works better, against Dialga Earthquake is better, and against the Lati twins and Giratina Crunch works just as good. It does show a good superiority against Palkia though. In OU it's the same story. Ice Punch covers Garchomp, Flygon, Dragonite, and Salamence better, Stone Edge covers Salamence, Dragonite, and Kyurem better, and Sazandora is hit just as hard with Superpower and almost as hard with Low Kick (base 100 power against Sazandora), and only a few pokémon (Kingdra and Ononokusu) that Outrage hits harder against than it's reliable options
Outrage is worth a mention and worth considering, but whether it's worth actually adding to a moveset is questionable when it lacks STAB and a large hit list that it can't cover just as good with it's other moves, and surprise is good, but only when it is also effective. I guess it's a reliable move to go for when on a choice item because so few resists it so, meaning less pokémon forcing you to switch out, but if you get locked in outrage against defensively strong steels like Aggron, Skarmory, or Metagross, you have a problem.
Tyranitar @ Life Orb
Sand Stream
Brave (+attack, -Speed): 252 Atk / 96 SpAtk / 160 Hitpoints
-Earthquake
-Stone Edge
-Fire Blast
-Crunch
Mixed Tyranitar. With the given EV investments and a neutral nature in SpAtk Tyranitar can pull off a 2KO with Fire Blast on a Skarmory with no SpDef EV's, max HP, and a neutral nature in SpDef, assuming perfect IV's on both sides. Since Skarmory walls all other moves of Tyranitar, it's good to have something to threaten the bird with. And if it roosts, you can go Earthquaking it down. Fire Blast also threatens the likes of Nattorei, Forretress, Scizor, Genosect, and Bronzong, although Bronzong has enough bulk to take it, but Nattorei, Forretress, Genosect, and Scizor become toast, and even if they survive, none of them like the burn chance. For the rest it's pretty standard. It could also be adapted to get less bulk or attack and more speed, depending on what you want to outrun, but Tyranitar isn't fast anyway and a lot of Tyranitars counters are already aiming to be just above Tyranitars max, so it won't be outrunning much, and if you also have to sacrifice a defence stat with a nature whilst not investing in EV's in bulk it's tough to fight while still being slow. In other words, invest a lot in speed and you may outrun a few things more, but still a lot will be outrunning you, and if you then have a lot less defence because your ev's and nature went into speed you are dead.
Fire Blast is chosen over Flamethrower because Fire Blast has an increased expected damage (accuracy multiplied by base power), which is the average base power over a long period of time. Since you won't use it that much since this isn't really a number one Bronzong counter, Fire Blasts low PP isn't really that much of a problem. It's also better than an electrical attack because Thunder is worthless on Tyranitar with only 50% accuracy in Sandstorm, Thunderbolt is weaker than Fire Blast against Skarmory, whilst Gyarados, Ho-Oh, (and pretty much any other flier) are already covered by Stone Edge, and Nattorei and Bronzong fear fire attacks more. Thunderbolt may be viable on pure special attacking sets to deal with waters, but not really on mixed sets where fliers are better hit with STAB Stone Edge coming from it's superior attacking stat and Tyranitar fears Surf and Hydro Pump too much to take on waters with Thunderbolt without STAB if it lacks the EV and nature investments of a pure special set.
Partners. I guess Zapdos is a decent partner, resisting 5 of the 6 weaknesses of Tyranitar. It isn't immune to Sandstorm, but it can slaughter waters that threaten Tyranitar with Thunderbolt, it also slaughters Skarmory, it can use flying moves against fighting, bug, or grass types like Torterra or Heracross, and it gets Heat Wave to burn down Nattorei if Tyranitar lacks fire or fighting moves, although Heat Wave is not compatible with Lightningrod unfortunately, whilst Tyranitar can Earthquake down any rocks that threat Zapdos with the added advantage that Zapdos is immune to Earthquake.
Genosect might become Uber, not sure, but I think it's a good partner. It has a wide special movepool to kill physical walls with and gets Psychic to deal with fighting types (less of a concern in Ubers), and Genosect is also immune to Sandstorm. It also doesn't share any weaknesses with Tyranitar, and it's only weakness (Fire) gets destroyed by Tyranitars Stone Edge, although it doesn't resist Earthquake unfortunately
Nattorei is also immune to Sandstorm, it can take hits and it gets Power Whip to deal with waters, although you end up with a double fighting weakness, and it isn't resistant to Earthquake.
Tyranitar remains what it was. It didn't get anything new (apart from Dragon Tail and Tension, to which it has better alternatives). It causes Sandstorm, it is bulky, it is slow, it has an amazing physical movepool and access to Dragon Dance to hit pretty much anything, a good special movepool and workable special attack for killing physical walls that try to stop it, has various supporting moves like Thunder Wave, Stealth Rock, Knock Off, and Dragon Tail, gets destroyed by fighting moves, and is simply a dangerous beast that, unlike Salamence, also has viability in Ubers thanks to it's collection of moves that hit a lot of the pokémon there for super effective damage combined with its massive stats, whilst Salamence will never break into Ubers because it's completely outclassed by Rayquaza. Tyranitar has always been an extremely dangerous pokémon, and it'll continue to be an extremely dangerous pokémon that everyone should be prepared for
