A couple things i suggest.
1. idk if this is supposed to be here but the zombies dont hurt you
2. the jump is a little unresponsive, so if this is within you skill ability i would make it faster to jump, and make it so if you tap the jump button once you jump to almost full height
3. the attack is kinda slow... so i would make the frames in the animation go faster. At the moment it feels kinda droopy and stuff.
4. ur prob planning to do this but sound effects and music always make games better (:
nice work so far though! Remember this is only my opinion. (: