Nice demo! It does have that classic-esque vibe to it. However there are only some small things I have with it.
1) Transitioning from room to room leaves me standing still like a statue rather then continue onward, and I have to forcibly move in order to continue. This can get frustrating.
2) The difficulty is a little up there. I'm not saying the game should be easy, but a little fine-tuning wouldn't hurt. Plus when I level up my strength should allow for my weapon to do more damage. My character got to either the third or fourth level and her weapon was still doing the same base damage.
3) The climbing and hanging on rope nets is also a bit of a frustration. If I'm not pressing up on the D-pad I should just fall, but instead I still hang there, and when surrounded by enemies it is quite a cause for concern. I feel this game mechanic could also be tweeked a bit to help it function better in the character's favour.
4) All the gold you receive after killing enemies or bashing bushes and haystacks seems to float a little to high for me to acquire them all. Having the gold fall to the ground where I can easily get at it without trying to jump up to impossible heights might work better.
Overall this game was enjoyable and I look forward to the next demo release