Out of more obscure titles
Tearmoon Empire Story (LN and manga)
Protagonist is a princess who gets her head chopped off in French Revolution type setting, when that happens she travels back in time to when she is 12 and she starts trying really hard to change the future.
She is still selfish and self centered, just doesn't want to get her head chopped off.
Gives off a bit of a Ciaphas Cane vibe, at least in the LN, the manga just started.