
Lugia
Moveset Name: Speed Shuffler
Move 1: Rest
Move 2: Sleep Talk
Move 3: Dragon Tail
Move 4: Whirlwind
Item: Leftovers
Ability: Pressure
Nature(s): Impish / Jolly
EVs: 252 HP/ 176 Def 80 SpD or 252 HP / 20 Def / 236 Spe
Good old Speed shuffling Lugia set from gen 3. Why RestTalk? IT phazes things before they even make a move lol, meaning Forretress and Ferrothorn has no free setup time on Lugia as long as Lugia is asleep and isn't picking Rest when Sleep Talk is used. Dragon Tail does decent damage to Dragon-types and prevents this set from being Taunt bait. Lugia finally gains status immunity with Rest and Pressure makes stalling easier. Lugia's great Speed stat and sheer bulk plays a large role here. It isn't Dragon weak like Giratina and is a lot faster. EV is up to the user. More Defense EVs means Lugia will survive more hits when asleep but fails to outspeed some rarer threats such as Rayquaza. Outspeeding a threat means Lugia phazes them before they move, Impish however, lets Lugia survive 3 hits from Support Groudon's Stone Edge while a +1 Outrage from Rayquaza fails to KO Impish Lugia after Stealth Rock.
Tried this set a lot and it works well :P EDIT: Jibaku likes it too.

Excadrill
Moveset Name: Support Excadrill
Move 1: Earthquake
Move 2: Shadow Claw / Rock Slide
Move 3: Rapid Spin
Move 4: Swords Dance
Item: Leftovers
Ability: Sand Rush
Nature(s): Adamant / Careful
EVs: 172 HP/ 136 Atk / 176 SpD / 24 Spe or 252 HP / 4 Def / 252 SpD
Works well as a bulkier Spinner and still threatens many threats such as Steel Arceus. Provides useful Electric immunity to rain teams, resists most hazards and STAB Earthquake smashes Steels who are troublesome to Stall such as Steel Arceus, Dialga and Heatran. Shadow Claw beats Giratina-O while Rock Slide owns Ho-OH. Swords Dance allows Excadrill to beat Dark Arceus and Bulk Up Dialga one-on-one. First EV spread ensures Excadrill survives a Fire Blast from Dialga in neutral weather.
Damage Calculation:
Timid Dialga's Fire Blast vs First Excadrill EV spread 81.2% - 95.5%
Choice Specs Palkia Draco Meteor vs the same Excadrill 52.7% - 62.4% <---- no 2HKO even with SR
Choice Scarf Zekrom Outrage vs Exacdrill 40.8% - 48%
Excadrill has a lot of resistances and walls Giratina-O in the rain. Without the sun, Giratina-O fails to 2HKO Excadrill while Shadow Claw is a 2HKO easily at +2 even when using no Attack EVs. Works best in sand but can function well in rain teams too by checking Zekrom and defeating Giratina-O.

Deoxys-D
Moveset Name:Utility Wall
Move 1: Spikes
Move 2: Recover
Move 3: Magic Coat
Move 4: Taunt / Stealth Rock / Knock Off
Item:Leftovers
Ability:Pressure
Nature(s): Careful
EVs: 252 HP/ 4 Def / 252 SpD
Decent overall bulkiness, access to Magic Coat to bounce back Spikes from the likes of faster Taunt users such as Mewtwo, Mew, Deoxys-D, fast Heatran and some abnormally speedy Skarmory. Taunt and Recover ensure it isn't outclassed by Lugia as a wall. Spikes is just so useful to have on Ubers teams. Stealth Rock can be used if nothing else in your team can set it up.
Pretty much an old set with Magic Coat but I didn't see any Deoxys-D analysis in Ubers so I am posting it here. It can also outstall Mixed Dialga and Palkia without rain.

Togekiss
Moveset Name: Kissing Haxer
Move 1: Air Slash
Move 2: Thunder Wave / Body Slam
Move 3: Nasty Plot
Move 4: Roost
Item:Leftovers
Ability:Serene Grace
Nature(s): Calm
EVs: 252 HP/ 4 Def / 252 SpD or use more Speed to outrun Groudon
Standard Togekiss but this thing works well in Ubers. Paralysing everything with Thunder Wave or Body Slam then flinch them to death. Beats Ghost Arceus, Grass Arceus, Fighting Arceus, Palkia, and even Giratina-O. The key is to paralyse them so you can outspeed them next turn. Air Slash hits decently hard off a base 125 Special Attack while few Ubers resists Flying with some notable exceptions being Dialga and Steel Arceus. Serene Grace allows you to flinch them 58% of the time with Air Slash and when combined with the fully paralysis rate the opponent will be annoyed a lot.
I tried Togekiss a lot and it worked really well.
Some damage calculations:
LO Mixed Mild Dialga Draco Metoer vs Togekiss = 63.4% - 74.9%
Scarf Dialga does 44.4% - 52.4%
+2 Ghost Arceus Focus Blast vs Togekiss = 35.3% - 41.7%
+2 Fighting Arceus Judgment vs Togekiss = 52.9% - 62.6%

Bisharp
Moveset Name: Fat Ranger
Move 1: Sucker Punch
Move 2: Swords Dance
Move 3: Low Sweep
Move 4: Night Slash / Iron Head
Item: Leftovers
Ability: Inner Focus
Nature(s): Adamant
EVs: 252 HP/ 96 Atk / 160 SpD
Bulky Bisharp can take much more damage than the usual offensive Bisharp. Leftovers allows it to stay alive much longer and stall teams will have a much harder time killing it through passive damage and Life Orb Recoil. It can also fit in stall teams to smash Shaymin-S, Mewtwo, Dark, Steel and Ghost Arceus without Focus Blast. In rain, Flamethrower doesn't come close to 2HKOing this Bisharp while Night Slash + Sucker Punch will kill Arceus. Iron Head smashes Rock and Ice Arceus to bits. Low Sweep is used to lower Speed from everything so that Bisharp can outspeed them later.
Ubers Heatran Lava Plume to Bisharp in neutral weather 70.7% - 84.4%
Scarf Palkia / Dialga / Reshiram Draco Meteor hits Bisharp for 41.6% - 49.1%
+2 Steel Arceus Judgment does 33.5% - 39.5%
Choice Scarf Kyogre Surf does 84.4% - 99.7% ( You won't switch in Bisharp on Kyogre but just to show some calculations)
The same Kyogre's Thunder does 47.3% - 56.3% to this Bisharp
Bisharp's useful resistances and immunity to Toxic / Toxic Spikes allows it to stay alive for quite some time. Resistance to Stealth Rock and Dragon-, Ice-, Ghost-, Dark-, Ghost-type attacks are always useful to have in Ubers.