What? No natures? You do understand that I can't make a proper moveset without knowing the nature, right? *Sigh* Anyhow, about Dragon Claw being used...doesn't matter, Stephy will learn it by level (I think it's 73 for Salamence, Bagon learns it at 50-something and Shellgon at 60-something as I recall), it will just take some time.
Christy-
Ice Beam
Sky Attack Flamethrower
Dragon Claw(It's used..)
Dragonbreath Sing/Rest
Well, it looks like this one is geared towards special attacks already so I hope that it isn't Adamant or something. Sky Attack is a waste of space move since it requires a turn of charging which gives your opponent the time to either get a free attack at Christy or switch in a pok?mon that can take that hit without any trouble. Flamethrower is a better choice as it will, as previously noted, give you full type coverage when combined with Dragon Claw. For the last move, I'd say Sing is good because it incapacitates your opponent, but Rest is pretty good too since you can get rid of the Sleep status simply by switching out because of Altaria's 'Natural Cure' trait. Although I doubt that you can obtain it any more, I'll add in a physical set too, just in case;
Aerial Ace/Return
Earthquake/Steel Wing
Dragon Dance
Sing
Quite a straightforward set really, put your opponent to sleep with Sing, buff up with Dragon Dance while it's incapacitated, and then sweep away. Aerial Ace and Earthquake make the best combo, although since those TMs have already been used Return and Steel Wing should work pretty well too.
Lizzie-
Blaze Kick/Flamethrower/Overheat
Fire Blast Swords Dance/Substitute
Earthquake/Rock Slide
Sky Uppercut/Brick break
Pwhee, it's actually a usable set! The only thing that bothers me is Fire Blast which is basically just wasting space there. I'd suggest replacing it with either Swords Dance (Which will increase Lizzie's sweeping potential) or Substitute (Which can be used to block out status attacks and controledly drop its HP below 1/4 to activate the 'Blaze' trait, which in turn will boost your fire attack's power by 50%. The other moves that I suggested are possible alternatives, but you don't have to use them for this to be a working set. I tend to prefer Brick Break over Sky Uppercut since it's more accurate and destroys Light Screens and Refletcs. Rock Slide might be preferable to Earthquake since it's super effective against flying types which Blaziken is weak against, plus, it causes flinching and can be used to hit levitating Ghost types like Gengar. For the fire move, Flamethrower is more accurate than Blaze Kick, has 10 more power, and isn't a contact move so touch traits like 'Poison Point' won't work on it, although it lacks the high critical hit ratio (It's only +5% chance these days though) that Blaze Kick has. Overheat is stronger than either of the two so it's great for sweeping, especially when 'Blaze' kicks in, although it cuts your Sp.Attack so it will grow weaker with each use. Switching cancels it out though, and if you give it a White Herb to hold it will let you use one extra full-power Overheat in the battle.
And Dunsparce...pwhee! I love Dunsparce movesets! Okay, here goes...
Physcial Set;
Item: Leftovers
Trait: Serene Grace
Moves:
Body Slam
Shadow Ball
Rock Slide
Attract/Counter
This one is pretty nice, with Serene Grace Body Slam has a 60% paralysis rate and Rock Slide has a 60% flinch rate. Now if we combine Attract, Paralysis, and the 60% flinch rate, it will be almost impossible for your opponent to get a single attack in. Very frustrating. Shadow Ball is there to counter ghost types and soften up the opponent's Sp.Defense in case you want to switch in a special attacker. Counter works well for that fourht slot too, although you'd need to have pretty high EVs in Defense and HP if you really want to take advantage of it.
Special Set:
Item: Leftovers
Trait: Serene Grace
Moves:
Bite (Needs breeding from Ekans/Seviper or any other pok?mon from the Ground egg group that can learn it!)
Flamethrower/Ice Beam/Thunderbolt
Flamethrower/Ice Beam/Thunderbolt/Thunder Wave
Thunder Wave/Attract/Counter
The idea is pretty much the same as in the above set but works with Special Attack instead. Bite has the same flinch rate as Rock Slide, although in this case you might want to carry Thunder Wave instead of a third damaging move since the 20% paralysis rate that Thunderbolt would have is too unreliable and this set depends quite heavily on paralysis to work since you can only make your opponent flinch if you're faster. The choice between Flamethrower, Ice Beam, and Thunderbolt is a matter of taste, any combination is fine methinks. Again, Attract, paralysis, and flinch make wonderfull music together, although Counter is also a possibility, it would require quite good EVs in HP and Defense here too. Anyhow, if the Dunsparce you get has 'Run Away' for a trait then don't train it, breed it instead until you get one with the right trait and a useful nature (Adamant or Modest depending on which set you want to use) or at least a neutral one. As for Tyranitar...I have a few ideas;
Set 1:
Item: Leftovers
Trait:Sandstream
Moves:
Rock Slide
Earthquake
Aerial Ace/Brick Break/Focus Punch
Dragon Dance/Thunder Wave/Screech
Pretty standard set. Dragon Dance is an egg move, so you might not want to bother getting it in, and Aerial Ace is gained through TM so Brick Break is always an option, heck, if you've got Thunder Wave and are feeling lucky then you might even go with Focus Punch. It's got quite a big failure rate though (Since any damaging attack disrupts it), so I don't really like it myself, but it's up to you. Rock Slide and Earthquake are both learned by level so you don't need to worry about TMs/Tutoring. Isn't that nice?
Set 2:
Crunch
Thunderbolt/Ice Beam
Thunderbolt/Ice Beam/Focus Punch
Substitute
Basically this set is an actual NetBattle build called Boah and is quite dangerous in competitive play if you aren't prepared for it. Basically you just set up a Substitute to soak up damage for you and then strike you opponents down with Thunderbolt, Ice Beam or Crunch and if they switch in a Blissey or Snorlax then you can Focus Punch it away. I'm not sure how effective it is ingame without the proper EVs and such but I suppose it's always worth trying.
Set 3:
Rock Slide
Earthquake
Crunch/Torment
Substitute/Thunder Wave/Protect (Only in combination with Torment)
Pwhee, a funny little set entirely of my own design. Rock Slide and Earthquake combined with Tyranitar's high Attack stat should be able to cause some serious harm to most opponents, especially when flanked by the STABed Sp.Attack move Crunch. As for Torment, that move is loads of fun. You only need to hit your opponent with it once and it persists until it switches out. If you hit your opponent, say...a Lapras or a Starmie, with Torment when they switch in, you can block out their only super effective move, in this case probably Surf, with Protect since they'd only be able to use it every other turn, Torment can also help you keep your Substitute up longer if your opponent only has one move that is capable of damaging Tyranitar properly. But if Torment isn't your thing you can always go with Crunch and Thunder Wave instead, certainly a worthwhile enough combo.
Pwhee, that's it for the movesets for now. I'll wait for some more ICs before I post another one myself.