... well you did ask lew
From completed files -
Nel/Albel/Sophia - Galaxy - Leader was Sophia and strategy was to hide at the back of the battlefield with her alternating between using healing/support spells on her allies and using Thunder Flare or Explosion whilst Nel and Albel worked on the enemies up front. I didn't know how to cancel combo until well into post game though my AI could do it

Nel had a Divine Wrath > Splitting Sky combo and Albel had Double Slash > Double Slash of Fury. As is obvious I was quite a newb since this was my first playthrough of the game.
Cliff/Peppita/Albel - Universe - Leader was Peppita. Strategy was to boost everyone's ATK with Power Dance and then pwn the living crap out of everything in overkill style. Peppita used powerdanced Frozen Daggers or powerdanced water enhanced moves thanks to Spike Shoes's adds water damage at Moonbase and Styx. Later she used Power Dance > Faerie Friend. Cliff used Fists of Fury until he got Max Shockwave and Albel tried out various things including Double Slash > Dragon Roar and Air Slash/Palm of Destruction combos. Leader was Peppita.
Maria/Peppita/Nel - 4-D mode - Scatter Beams maingame, Energy Burst post. Peppita alternated between the usual Power Dance > Faerie Friend and counter attacks w/th Increase MP damage and a fireworks weapon. Nel alternated between Mirror Slice and Increase HP damage enhanced Whirlwind cancels. Leader was Peppita.
Fayt/Roger/Peppita - Galaxy replay - Air Raid. Divine Blade w/h fireworks. Charge! Raging Helmet! Bug Triad! Power Dance! Faerie Friend! Dream Hammer! This was the first team to get me the defeat Freya within fifteen minutes battle trophy. Awesme. Leaders were Fayt and Peppita.
Fayt/Sophia/Peppita - Universe Replay - Ethereal Blast! Faerie Friend! Thunder Flare! These moves blended together beautifully. I alternated control between Fayt and Peppita and sometimes Sophia just to make sure she kept behaving herself ;p Alternately I sometimes gave them all fireworks weapons and used Divine Blade, Peppita's counters and Sophia's Long O all with Increase MP or Increase HP damage too. Then once they were all L255 I went and levelled everyone else up to L255 as well ;o
Nel/Roger/Adray - Universe Replay - Alternated control between all three of them. Nel used Mirror Slice or Divine Wrath, Roger his usual stuff and Adray either supported with stunlocking Thunder Flares from the menu or tried out Sea Gate, Titan Fist and Emotion Torrent Chains.
Peppita/Roger/Mirage - 4-D - This file kind of ended up - Healing Dance > Dream Hammer! Dream Hammer! Dream Hammer! Roger and Mirage *twiddle thumbs* This is because I found out Peppita could be invincible during Dream Hammer thanks to Shielding Device/Roe Tablets so I wanted to try that out over and over and over again. Roger and Mirage became my item users and AAA bait ;p Leader was Peppita.
Nel/Albel/Cliff - Whirlwind. Vampiric Flash/Double Slash of Fury. Max Shockwave. Leaders were Nel and Albel.
Peppita/Fayt/Cliff - Speedthrough run Galaxy - Maingame only.
Peppita/Nel/Fayt - Speedthrough run Earth. Maingame only.
Power Dance is awesme.
Sophia/Adray/Cliff - 4-D mode - This was for a post and see what characters you have to use game.
Inprogress -
Albel/Sophia/Peppita - Galaxy replay - Albel's been mainly working with a Double Slash > Dragon Roar w/th Critical Hit MP this run. Infact he's been using it so much he maxxed out his Critical Hit MP skill all by himself. Sophia's been using Thunder Flare so much she's levelled it to L10. Peppita uses Power Dance > Kaboom/Faerie Friend on randoms and Power Dance > Dream Hammer on bosses. Going to switch her to Healing Dance > Dream Hammer soon once I've dressed up her ultimate weapon. Leader is Peppita.
Also on the above file - Fayt/Adray/Peppita - Playing volleyball
Peppita/Nel/Mirage - 4-D mode - Mainly Power Dance Kaboom/Faerie Friend for Peppita, Mirror Slice for Nel and Crescent Locus for Mirage. Trying to work out a juggle combo for this team though

Leader is Peppita.