I like the way it looks. The gameplay's got something to it, but the survival score mode doesn't have tons of staying power. Since you've got 8 direction animations, it'd be cool to see it move to an isometric style with bigger levels (though obviously getting the level art would take a lot of time).
I think the analog stick rotation you're using to select a running animation is offset by some amount. If I push right I get an up-right animation, and if I push left I get a down-left one. I think maybe just subtracting 45 degrees or something would fix it.
One other thing is that it's a little weird to need to hold the action button to punch. It would feel better if the effect was immediate, and maybe just cancel animations if the player does something else after.
My monitor was fine, but you can choose a base width and height that doesn't change to use in your draw calls, and then use love.graphics.setScale to scale those draw calls, along with love.window.setMode to change the window size.