Princess peach's arsenal is... Varied. To say the least. At her core, she's similar to the legend Mario- She can jump, she can leap, she can use power-ups, she has an inventory full of various items, and can use a mean hammer, though she doesn't carry one. While she's not as acrobatic as Mario [https://www.youtube.com/watch?v=RWVb-gqP8BI], she is still relatively so- She can wall-jump, kick, and other various default maneuvers. She's more in-line with Mario when he was first starting out than anyone else, which is still quite the feat.
She has terrifying jumping prowess, able to quite easily jump ten feet into the air to stab you in the head with her killer heels (Literally, she's sharpened them). In terms of Strength, using her jumping prowess, she can destroy bricks with her bare hands, and has a mean backhand. She is also a fairly capable climber, able to maintain a foothold to make a sneak-attack.
In terms of interpersonal capabilities, she's a master, capable of swaying those of cruel heart to do a sizable amount, and to shatter their view of the world, and to heal most any wound.
In fact, she's positively magic, in two ways-
One is to channel the power of the heart in six ways:
Therapy is her talking to people so that their wounds heal.
Group hug is a group hug that heals everyone who takes part.
Reign of Sheep causes a Royal Sheep to descend from her soul, hitting someone to cause them to fall asleep (No permanent damage)
Come back can bring the recently fallen or deceased back to life- However, when I say recent, I really do mean recent: She usually has a 5 minute window to cast Come Back, before it simply doesn't work.
Mute makes it so one cannot talk and cast spells. (No permanent damage)
Psych Bomb literally brings upon the emotions of the stars in a supernova that creates an explosion (About the regular size of an explosion. If that wasn't the case, she would be blown up in the face). (Yes permanent damage)
Secondly is to focus her heart. When she focuses her heart, she gains massive poise and power, able to make powerful attacks channeling both her soul and the stars.
Firstly is to literally slap people around, which hurts like hell. This includes clawing at someone's face with her crown, and imbuing a ribin with the intwined power of the heart and stars, creating a minor area of affect that deals damage and launches folks into the air.
Peach Bomber: She channels her heart into her rear, which she then proceeds to throw at someone, causing a explosion of hearts.
Turnip: She calls upon her memory to create a turnip, which she can throw at people. Can also sometimes create a Bom-omb.
Toad: She calls upon her Guards, summoning a copy of a Toad, which, when hit, releases spores that deal damage to your opponent. Like Turnip, when she pays it little attention, she
Infused parasol: She imbues her parasol with the starpower, to not kill people as she throws them up into the air by the parasol tip.
Speaking of parasols, she can use those to slow her descent, allowing her to jump further than most individuals. In addition, she can also float for short periods of time using her heart power.
In addition, she is very durable, capable of handling a punch to the face with only minor facial damage. This is helped by her dress- Though inconspicuous, it's very much designed for a fight- The fabric is made such that bladed weapons cannot penetrate them- It still causes damage, but the damage is more the fact that you hit her with a slab of metal than the fact you stabbed her. It's also fireproof, and very difficult to grasp. It does not, however, provide any defense against bludgeons, meaning that punching her in the gut will still hurt.