She has some interesting options;
- The Fullblade is, effectively, an oversized greatsword in terms of length, but only has the novelty of being 2d8 versus 2d6. It's 3.0, and depending on how you handle it, has some goofy rules - if she does opt to use it, I'd advise only making her take Exotic Weapon Proficiency for it and none of the other debatable issues. The Fullblade is in Sword and Fist.
- The Jovar is a unique upgrade from the greatsword because it has a great crit range of 18-20 - making things like a Scabbard of Keen Edges even nicer for it. She could easily fluff that the weapon is larger - it certainly is more unusual looking by standard fluff alone. Found in the Planar Handbook.
- The Great Falchion has greataxe damage and the 18-20 crit range. It's nothing wowing and not really that great, but it's novel. When the last time you've heard of anyone use one? Never, probably? Style points for sure, and the fluff thinks of it as an "executioner's weapon". Found in Sandstorm.
- The Mercurial Greatsword trades its decent crit range of 19-20 with the x2 multiplier for a x4 with no expanded crit range. It's a weird weapon and nothing really special, but I see no reason to not fluff it as bizarrely larger than it should be, and she traded the finesse (crit range) for absolutely brutal crits with it. Another note it originally dealt 2d8 damage but errata changed it back to 2d6; I really don't see anything too overpowered for getting the 2d8 version for her. The fluff even calls it a "huge blade" and its weight alone (17lbs) infers that. Found in Arms and Equipment and Sword and Fist.
Those are the only ones I can really think of off the top of my head. I hope they help.