Gonna take every Rose feat I have, and dump them all here.
Copperhead tries to sneak up on her, which is kind of a dumb thing to do against a precognitive. Fights Copperhead and Persuader at the same time, and I found it hilarious how she has time to toss them off, go to her room, change into her work clothes, and then walk back into the fight like nothing happened. KO's Persuader with her energy blades (she would have died but for the fact that Tim tampered with the blades so that they wouldn't harm organic matter), beats Copperhead unconscious, and then beats Dreadbolt with one hand behind her back.
Survives an explosion that takes most of Titans Tower:
Beats all the Terror Titans at once in H2H, beats TNTeena after taking multiple explosions or whatever it is she does, beats Aquagirl.
Deathstroke gives his interpretation of her precog and an explanation of why he's immune to it. This explanation makes no sense because it operates on the assumption that Rose needs to be face to face with her opponent to see the future. But her precog has worked against opponents who were out of sight. Oh well.
Prep feat: beats Bombshell and Wonder Girl.
Sees through Miss Martian's disguise.
Fights Cassandra Cain, and it's important to note that she's stated to be inexperienced in this fight. Even so she holds her own until she gets distracted by Slade's presence, which lets Cass take the win.
Rematch against Cassandra Cain, and she sort of had the advantage until Inertia attacked her. A lot of people say this fight should be considered invalid because Cass was drugged, but Rose was drugged in precisely the same manner during their first fight and it didn't appear to affect either woman's ability to fight.
Fights Slade during Blackest Night and actually manages to overpower him! Slade's heart wasn't completely in it, but still: it's Deathstroke.
Possibly has telepathy in the new 52, this is unconfirmed.
With some prep and a little strategy, nearly kills Superboy.
Feel free to add your own.