Awesome little game, nice simple graphical style too! Would have liked to have had some music in the game.
Other than that I think the only issue was the classic Unity glitchy character collider physics interactions with the platforms (where for example you collide with an edge, and can drag yourself up it with physics), the easiest solution to fixing this is two part: Adjusting the physics materials of the player and the platforms, and also making sure that the players collider is independent of their animation, otherwise it can glitch by changing frames and ending up intersecting with things it wouldn't usually be able to.
Nice effort put into the game though, and I certainly enjoyed playing through it!