Hello,
I can implement for you a Flappy Bird like game with a different theme (assuming you can give me the sounds and graphics). In order to speed up the implementation phase I will use an already made game engine (as required by you in the project description). I will use Eclipse if you really wanted, just keep in mind that Google doesn't support Eclipse anymore, the official recommended way of building Android apps is to use Android Studio.
Thanks and let me know if you are interested to work with me,
Paul