She launched her career back in 2000 under the tutelage of Mylene Farmer, channeling a sexed-up school girl/lolita and brought French pop to the international stage where she enjoyed huge success;

Moi Lolita (her biggest hit)
https://www.youtube.com/watch?v=dDwKPGUIVME

Gourmandises
https://www.youtube.com/watch?v=8CU1ivU6F3Y

Unfortunately, as Alizée matured into a young woman, her appeal waned as each subsequent album release was selling less than the previous one She basically became the musical equivalent of a once successful child actor.
However, she has still released some fantastic tunes in recent years including these corkers;

Les Collines (Never Leave You)
https://www.youtube.com/watch?v=TPdV_3lzr7o

A Cause de l'automne
https://www.youtube.com/watch?v=XPDEqUnNulg

Hopefully she will release another album soon

No one does? Pity

Moi Lolita was fantastic. Also liked Gourmandises.

I loved the early stuff from her first two albums. I thought the second one was particularly strong.

She definitely benefited from having Mylène Farmer and Laurent Boutonnat behind the scenes. Sadly, once she left them, the quality was patchy at best. Granted, she has had some good songs here or there but nothing like at the start.

Yes I totally agree those two were the winning formula for Alizee. Unfortunately, things soured between her and Mylene and I'm not sure they are even on speaking terms by now.
She struggled to find a sound after Mylene and hence all the genre-hopping albums that followed since (electro pop, 60s girl group, bubblegum pop).
Blonde is a particularly bad album so I like to pretend it doesn't exist