29 years ago - Maxima is born the scion of the Blood Royal of Almerac.
8 years ago - 21-year-old Maxima is manipulated by Brainiac to declare war on earth. Superman stops her, and together they battle the Brainiac worldship.
6 years ago - 23-year-old Maxima comes to Earth to take Superman as a mate. He refuses, but helps her quell an uprising on Almerac. She leaves the throne to her advisers to go to Earth and repay her blood debt. She joins the Justice League.
5 years ago - 24-year-old Maxima is the last member of the Justice League to fall to Doomsday. After Superman's supposed death, she returns to the Almerac throne.
now - 29-year-old Maxima joins Adam Strange's Omega Men to protect Almerac from Lady Styx.
Ridiculous costume aside, I love Maxima. The idea of an intergalactic princess that is so badass she gives Superman a run for his money who then decides she's going to take him as a mate is just the best. It's all those ridiculous "Superman's girlfriend" comics, but with a character that can punch a hole in a tank. She's not a character that needs to be in the Justice League for long, especially since she's basically only there as a favor to Superman, but the fact that she's there at all is just great.
We've deliberately removed the entire run of "Extreme Justice" from continuity, which removes the bulk of her adventures, but those stories are pretty universally awful. To compensate, I've used her as a replacement for the dozens of characters that participated in the Panic in the Sky arc that reintroduced Brainiac, making it more directly a conflict between her and Superman. Also, she's going to be a member of an entirely new team of intergalactic heroes under Adam Strange.