Courtesy of me, here's some new information, regarding Rosalina's moves.
Luma Shot: This is Rosalina's standard special move. If Rosalina has a Luma present, she can send it away from her with this move. She can also call the Luma back to her with it.
Rosalina can apparently charge this move, and the longer she charges it, the further the Luma will travel.
The Luma will return to Rosalina almost immediately when the Luma Shot is used again.
While it's alone, the Luma can attack independently, but Rosalina can still command its attacks, even when they're apart.
Although unconfirmed, this move may also be used to summon a new Luma if needed.
3-hit Combo: When performing the 3-hit combo, one of Rosalina's attacks include waving her wand forward to deliver multiple hits to her adversary. The Luma will spin around during the process.
Back Aerial: Rosalina uses her feet to attack her opponents from behind. The attack apparently creates a galaxy that can deal some damage.
Down Standard Attack: Rosalina does a low sweep to damage opponents. Knockback seems to be horizontal.
Reverse Rolling Dodge: Rosalina simply teleports from one location to another to avoid attacks.
Star Bits: This is Rosalina's side special move. While the Luma is present, it'll fire Star Bits to damage opponents. Rosalina simply commands the Luma to attack, so she's not the one attacking with this move.
Rosalina can have the Luma perform this move, even when they're not together.
Launch Star: Much like what was shown on the trailer, the Launch Star is a long distance recovery move, but it's still unclear if Rosalina receives super armor frames while using it. It's her up special move.
Gravitational Pull: This down special move is able to attract items to Rosalina, and repel certain projectiles. However, it's also shown to be able to render almost any projectile attack ineffective, as Lucario's Aura Sphere was neutralized by the move.
However, it seems that this special move isn't one that can be held up like Fox's Reflector, so timing may be everything if one wants to use it properly.
Power Star: As her Final Smash, Rosalina summons a Power Star, which will fire stars at opponents to deal damage.