Use a dark background (black, dark blue, matte, glossy, sand, glitter)
Use bright colors to paint the fireworks.
The fireworks look can be achieved with dots and lines placed in a circle, umbrella shape, opening flower shape or like rain.
It doesn't really matter what you do. This time a year using a dark background+bright colors makes everyone think about fireworks immediately. So, just have fun with it!
Here are some swatches of my background color.
Rimmel London Space dust 005 Total Eclipse
"Total Eclipse" is a black based polish with teal glitters that light up in artificial light (pictures above).
It dries quick and like a textured polish. Two coats is enough for good coverage.
In natural light the polish looks like this:
To make the bright colors of fireworks pop extra I've used a white polish first.
Here is my nail art without and with topcoat. In the picture without looks better I think but in real life the topcoat made the colors more bright and therefore prettier.