The original Flixel library targets ActionScript 3 and Flash-era workflows. Before considering it for a new game, check how you would build and distribute the result on today's target platforms. Prototype a tiny level with movement, collision, and restart, then install the output where players would use it.
If the goal is modern cross-platform development, compare maintained descendants such as HaxeFlixel on their own merits. Avoid conflating the two projects. Choose from tested deployment and maintenance paths, not nostalgia for an older tutorial.