It's a pretty solid flappy bird variant.
Nice that you implemented the browser version so fast. But because of the short time frame you have a visual error in the "how to play" section. WebGL has another resolution than your windows version so it's cropped on the bottom.
Besides that jsut please change the background. I don't know if it is just me but it literally hurts my eyes because it's so fast moving. And I don't mean it is bad looking I mean it is literally making my eyes hurt.
Played on mobile and there your main screen is capped.
Before thinking about big thinks like a story try to polish what you already have. For example you don't "feel" the hit. If you wouldn't see the life's reduce you wouldn't know if you hit something bad.
Bonus tip:
If you want an easy but big improvement, make an online Highscore with loot locker.