I'll second Persona 3 and 4 as really good RPGs for the PS2. FF and Kingdom Hearts are also usually pretty solid even if I can't agree about quality on a few of them. I will add Suikoden III and V as great character driven JRPGs of the time frame. Dragon Quest VIII is a slo a solid investment unless you feel she would prefer playing the enhanced 3DS version.

For the 360, I would say t check out Mistwalker's Blue Dragon (FFV Meets Dragon Ball) and Lost Odyssey, as they are usually highly recommended though I have not had the good fortune to play either, sadly.