Princess Peach is a core figure in the Mario mythology, having grown from the standard princess Mcguffin into one of the most fleshed out and fully realised characters. While she initially just existed as a damsel in distress for Mario to win, she gained popularity in the various Party and Kart games, offering something different to the plethora of male characters. Her popularity spawned a clone, in Princess Daisy, who was then given her own personality away from Peach's. In the most recent mainline Mario game, Super Mario Odyssey (nope, Bowser's Fury doesn't count), we see Peach yet again scooped up as a damsel, but she finishes the game as so much more, and that's why she needs her own game again.
Odyssey has a narrative structure very familiar in Mario games. It doubles down on the whole damsel thing, with Bowser stealing Peach in order to marry her, with the game spent following him across various settings while he prepares for his wedding. It has adventures based around the cake, the dress, the band... I'm sure couples who painstakingly planned their own weddings down to the last detail will tell you it’s just as fun as hopping in a spaceship and using a whimsical hat to befriend a cuddly little dinosaur. In any case, it all culminates in Mario crashing the wedding a la The Graduate, only instead of running away with Mario, Peach decides she doesn't want to be married at all. She then spends the post-game adventuring across the world as an independent woman, and you know what? Good for her.
Related: Mario Needs An All-Female Spin-OffThis is why we need another Peach game. Back in 2005, Super Princess Peach was launched, and was basically a classic Super Mario game except instead of defeating enemies, Peach showed
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