Here's an example implementation of the game you described using HTML and JavaScript:
To play the game, you can save the above code in a single HTML file and open it in a web browser, preferably on a smartphone for better touch control experience. The game consists of a gameboard with a falling nuke, randomly generated planes as obstacles, and a power plant at the bottom as the goal. The nuke is controlled by touching and dragging on the screen. If the nuke touches a plane, the game is over and a explosion is shown. If the nuke reaches the power plant, you win the level. The game will then proceed to the next level with increased difficulty.